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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double points; fifth order curves
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials principally polarized abelian varieties; moduli space; toroidal compactification, semi-abelic varieties, double ramification cycle S. Grushevsky and D. Zakharov, The zero section of the universal semiabelian variety, and the double ramification cycle, preprint, arXiv:1206.3534.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmannian; Schubert variety; Hilbert coefficients; Gorenstein ring; almost Gorenstein ring
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials division polynomials; polynomial identity testing; elliptic curves
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur functions; affine Schubert calculus; \(k\)-Schur functions; Macdonald positivity; Pieri rule; nilCoxeter ring; nilHecke ring; Kac-Moody variety Lam, Thomas; Lapointe, Luc; Morse, Jennifer; Schilling, Anne; Shimozono, Mark; Zabrocki, Mike, \(k\)-Schur functions and affine Schubert calculus, Fields Institute Monographs 33, viii+219 pp., (2014), Springer, New York; Fields Institute for Research in Mathematical Sciences, Toronto, ON
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials configuration space; generating series; Grothendieck ring of complex quasiprojective varieties
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; pattern classes; enumeration Michael H. Albert and Robert Brignall, Enumerating indices of Schubert varieties defined by inclusions. J. Combin. Theory Ser. A 123 (2014), 154--168.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; intersection theory; Peterson variety Insko, Erik, Schubert calculus and the homology of the Peterson variety, Electron. J. Combin., 22, 2, (2015)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Veronese double cone; Fano manifolds; varieties of minimal rational tangents Hwang, J. M.; Kim, H., Varieties of minimal rational tangents on Veronese double cones, Algebraic Geom., 2, 176-192, (2015)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials factoring polynomials; zeta function; abelian variety; finite fields
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Fourier theory on abelian varieties; Grothendieck Riemann-Roch theorem; Chow groups of abelian varieties Murre, J.: Algebraic cycles on abelian varieties: application of abstract Fourier theory. The arithmetic and geometry of algebraic cycles, 307-320 (1998)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials ideals of quasi-adjunction; Alexander polynomials; Mordell-Weil rank; Zariski pairs
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials determinantal ideals; Hilbert functions; determinantal varieties; Schubert varieties; ladder determinantal varieties; Hilbert series DOI: 10.1016/S0012-365X(01)00256-4
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials multiple coverings of curves; double coverings; base point free pencils
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double covers of Fano manifolds; varieties of minimal rational tangents; Cartan-Fubini type rigidity
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials projection; Gauss map; double covers Duflot, J.: Gaussian maps for double coverings. Manuscript Math. 82, 71--87 (1994)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Veronese surface; rational normal scroll; Del Pezzo surface; double point Russo, F, On a theorem of Severi, Math. Ann., 316, 1-17, (2000)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; cobordism; flag variety; Bott-Samelson resolution
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials characteristic variety; Schubert variety; Kazhdan-Lusztig cell; highest weight module; Kashiwara-Saito singularity Williamson, Geordie, A reducible characteristic variety in type \(A\).Representations of reductive groups, Prog. Math. Phys. 312, 517-532, (2015), Birkhäuser/Springer, Cham
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials resolution of the singularities of a Schubert cycle; Grassmannian; strict transforms of the Schubert cycles Boudhraa, Z.: Resolution of singularities of Schubert cycles. J. pure appl. Algebra 90, No. 2, 105-113 (1993)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials hypercohomology spectra; presheaves of spectra; Grothendieck site; simplicial presheaves Stephen A. Mitchell, Hypercohomology spectra and Thomason's descent theorem, Algebraic \?-theory (Toronto, ON, 1996) Fields Inst. Commun., vol. 16, Amer. Math. Soc., Providence, RI, 1997, pp. 221 -- 277.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials differential operator; de Rham-Grothendieck coefficients Mebkhout, Z.; Narvaez, L., Sur LES coefficients de de Rham-Grothendieck des variétés algébriques, (\textit{p}-adic Analysis, Lect. Notes Math., vol. 1454, (1990), Springer-Verlag Heidelberg), 267-309
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials closed polynomials; coordinates; derivations
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials binomial polynomials; values of the successive derivatives of polynomials or rational functions; polynomial functions; integral domain; ring of integers of a number field; fully invariant subsets; polynomial mappings; several variables; transcendental extension; finite extension; polynomial cycles; many exercises; open problems; bibliographical references Narkiewicz, Władysław, Polynomial mappings, Lecture Notes in Mathematics 1600, viii+130 pp., (1995), Springer-Verlag, Berlin
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double covers; crepant resolution; primary decomposition; Calabi-Yau varieties
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials non-negative polynomials; sums of squares; symmetric polynomials; symmetric inequalities; symmetric group
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials ideal transform; local duality; Hilbert polynomials; reduction of ideals; connectivity; sheaf cohomology; vanishing theorems; annihilation; finiteness theorems on local cohomology; Castelnuovo-Mumford regularity M.P. Brodmann, R.Y. Sharp, \(Local Cohomology: An Algebraic Introduction with Geometric Applications\). Cambridge Studies in Advanced Mathematics, vol. 60 (Cambridge University Press, Cambridge, 1998). MR 1613627 (99h:13020)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials structure sheaf; additive category; Grothendieck topology; exactness; adjoint
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(\mathcal D\)-module; local algebraic cohomology; de Rham function; Grothendieck topology DOI: 10.2977/prims/1195169840
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag variety; number of double contacts; families of plane curves; Chow groups; triple contacts
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(A\)-algebraic sets; classical algebraic geometry; formal concept analysis; polynomial context; free algebra; formal context; congruence relations; radical congruences; ring of polynomials; algebraically closed field; algebraic varieties; reduced ideals; functorial correspondence; coordinate algebras; dual equivalence; category
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials dimension of Zariski tangent space; singular locus of a Schubert variety; flag variety; standard monomial theory; Jacobian matrix; weight vectors C.S. Seshadri : Normality of Schubert variety . Proceeding de ''Algebraic Geometry'' (Bombay, Avril 1984).
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; equivariant oriented cohomology; flag variety; root polynomial; hyperbolic formal group law ] C. Lenart and K. Zainoulline, Towards generalized cohomology Schubert calculus via formal root polynomials, arXiv:1408.5952.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real algebraic geometry; nullstellensatz; polynomials over division algebras; matrix rings; quaternions
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bernoulli polynomials and Bernoulli functions; Dedekind sums; Dedekind-Rademacher sums; Hardy sums; Theta functions Simsek, Y, Elliptic analogue of the Hardy sums related to elliptic Bernoulli functions, Gen. Math, 15, 3-23, (2007)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmannian; Schubert problems; continuation; geometric Littlewood-Richardson rule; homotopies; numerical Schubert calculus; path following; polynomial system F. Sottile, R. Vakil, and J. Verschelde, \textit{Solving Schubert problems with Littlewood-Richardson homotopies}, Proc. ISSAC 2010 (Stephen M. Watt, ed.), ACM, 2010, pp. 179-186.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kac polynomials; dimension of graded vector spaces; representations of Kac-Moody algebras; graded Borcherds algebras; character of infinite dimensional graded Lie algebra
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials equivariant Grothendieck groups; equivariant Chow groups; good scheme; Riemann-Roch theorem; Chow group; quotient stack; totally split torus --. --. --. --., ``Equivariant Grothendieck groups and equivariant Chow groups'' in Classification of Irregular Varieties (Trento, Italy, 1990) , ed. E. Ballico, F. Catanese, and C. Ciliberto, Lecture Notes in Math. 1515 , Springer, Berlin, 1992, 112--133.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Euler characteristic; Grothendieck group; Chow motives F. Bittner. The universal euler characteristic for varieties of characteristic zero. \(Comp. Math.\), 140:1011-1032, 2004.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials cohomology of Shimura varieties; Schubert cycles; Hodge structures; Mumford-Tate group T. N. Venkataramana, Abelianness of Mumford-Tate groups associated to some unitary groups, Compositio Math. 122 (2000), 223--242.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials model category; cofibrantly generated model category; Grothendieck site Jardine, J.F.: Intermediate model structures for simplicial presheaves. Can. Math. Bull. 49(3), 407--413 (2006)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; stable curves; Shapiro-Shapiro conjecture; jeu de taquin; growth diagram; promotion Levinson, J.: One-dimensional Schubert problems with respect to osculating flags. Canadian J. Math. (2016). 10.4153/CJM-2015-061-1
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weierstrass semigroup; double cover of a curve; rational ruled surface Plane curves of degree 4
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Macdonald polynomials; isospectral Hilbert schemes; \(n!\)-conjecture; Macdonald positivity conjecture; subspace arrangement K.B. Alkalaev and V.A. Belavin, \textit{Conformal blocks of}\( {\mathcal{W}}_n \)\textit{Minimal Models and AGT correspondence}, arXiv:1404.7094 [INSPIRE].
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials weighted Grassmannians; equivariant weighted Schubert classes; equivariant cohomology; structure constants Abe, H; Matsumura, T, Equivariant cohomology of weighted Grassmannians and weighted Schubert classes, Int. Math. Res. Not. IMRN, 9, 2499-2524, (2015)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quantum cohomology ring; hypersurface; mirror transformation; Calabi-Yau hypersurface; Schur polynomials; Gromov-Witten invariants Jinzenji, M., On the quantum cohomology rings of general type projective hypersurfaces and generalized mirror transformation, Int. J. Mod. Phys., A15, 1557-1596, (2000)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials sheaf and Čech cohomologies; Grothendieck topos; topos cohomology
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials arithmetic-geometric-mean inequality; certifying nonnegativity; fewnomials; SAGE; signomials; sparse polynomials
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials moduli space of curves; double ramification cycle; universal Jacobian
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials character variety; irreducible representation; two-generator group; double twist link; symmetric slice; asymmetric slice
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag manifolds; Schubert varieties; Chow ring H. Duan, X. Zhao, Appendix to ''The Chow rings of generalized Grassmannians'', arXiv:math.AG/0510085 .
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties Perrin N., Rational curves on minuscule Schubert varieties, J. Algebra, 2005, 294(2), 431--462
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag superspaces; Schubert supercells Manin, Y.I., Voronov, A.A.: Supercellular partitions of flag superspaces. Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh. VINITI Moscow \textbf{32}, 27-70 (1988)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Arakelov geometry; arithmetical geometry; theorems of Riemann-Roch; Minkowski; Grothendieck schemes Hindry, M.: Géométrie arithmétique. (1991)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials bi-Lipschitz equisingularity; double of an ideal; canonical vector field
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials divided-power algebras; Schubert classes; Kac-Moody groups; Kac-Moody algebras; BGG-type operators; homotopy equivalences; cohomology ring C. Özel, ``On the cohomology ring of the infinite flag manifold LG/T,'' Turkish Journal of Mathematics, vol. 22, no. 4, pp. 415-448, 1998.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic geometry; systems theory; McMillan degree; Kronecker indices; transfer functions; system invariants; Grassmann manifold; Grothendieck invariants R. Hermann and C. Martin, ''Application of algebraic geometry to systems theory: Part II: The McMillan degree and Kronecker indices as topological and holomorphic invariants,''SIAM J. Contr. Optimiz.,16, 743--755 (1978).
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials motivic zeta function; finite-dimensional motives; monoidal category; triangulated category; homotopy category; Grothendieck group
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials modular representation theory; equivariant cohomology; moment graphs; constructible sheaves; tilting modules; Schubert varieties; \(p\)-smooth locus Fiebig, P. & Williamson, G., Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties. \textit{Ann. Inst. Fourier (Grenoble)}, 64 (2014), 489-536.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials determinant line bundle; vertex operators; loop group; Kac-Moody Lie algebras; affine algebras; infinite-dimensional Lie groups; central extensions; circle group; Grassmannian; polarized Hilbert space; Schubert cell decomposition; homogeneous space; complex manifold; Borel-Weil theory; spin representation; Kac character formula; Bernstein-Gel'fand- Gel'fand resolution A. Pressley and G. Segal, \textit{Loop Groups}, Clarendon Press, Oxford (1986).
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Pieri formula; classes of Schubert cycles Howard Hiller and Brian Boe, Pieri formula for \?\?_{2\?+1}/\?_{\?} and \?\?_{\?}/\?_{\?}, Adv. in Math. 62 (1986), no. 1, 49 -- 67.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials generic matrices; universal division algebras; central polynomials; PI-degrees; group actions; geometric actions; invariants; concomitants; Gelfand-Kirillov dimension Reichstein Z., Adv. Appl. Math. 37 pp 481-- (2006)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double derivations; double Schouten bracket; double Poisson bracket; quivers; double Poisson algebras G. Van de Weyer, Double Poisson structures on finite dimensional semi-simple algebras, math.AG/0603533.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; degenerate flag varieties; Demazure modules
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Hasse principle; approximation theorems for homogeneous spaces; abelianization of Galois cohomology; affine algebraic groups; non-Abelian hypercohomology; Brauer-Grothendieck group Morishita, M.: Hasse principle and approximation theorems for homogeneous spaces. Algebraic number theory and related topics, Kyoto 1996 998, 102-116 (1997)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmann bundles; Schubert calculus A. Nigro, Sections of Grassmann Bundles, Ph.D. Thesis, Politecnico di Torino, 2010.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials isospectral torus; covering map; orthogonal polynomials J.S. Christiansen, B. Simon and M. Zinchenko, \textit{Finite gap Jacobi matrices, I. The} \textit{isospectral torus. }Constr. Approx. 32 (2010), 1--65.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gromov-Witten; double ramification; hierarchy Buryak, A.; Rossi, P., Recursion relations for double ramification hierarchies, Commun.Math. Phys., 342, 533-568, (2016)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials gauge group; principal bundle; characteristic classes; smooth manifolds; vector bundles; invariant polynomials; curvature forms; linear connection Husemöller, D., Fibre Bundles, (1993), Springer
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials sums of squares; real polynomials; Betti numbers
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials bounded polynomials; semialgebraic set; finitely generated algebra; proper mapping Michalska, M., Algebra of bounded polynomials on a set Zariski closed at infinity cannot be finitely generated, Bull. Sci. Math., 137, 705-715, (2013)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gromov-Witten invariants; Grassmannians; Schubert varieties; classical problems Martín, López, A.: Gromov-Witten invariants and rational curves on Grassmannians, J. Geom. Phys., 61, 213-216, (2011)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials infinite-dimensional groups; infinite matrices over finite fields; Grassmanians in representation theory; invariant measures; Al-Salam--Carlitz polynomials; \(q-\)Hahn polynomials; flags Neretin, YA, The space \(L\)\^{}\{2\} on semi-infinite Grassmannian over finite field, Adv. Math., 250, 320-350, (2014)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials value sets; finite fields; polynomials; towers of function fields
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real smooth curves; Chebyshev polynomials; rational knots; Lissajous knots; harmonic knots; two-bridge knots; continued fractions Koseleff, P.-V.; Pecker, D., Chebyshev diagrams for two-bridge knots, Geom. Dedic., 150, 405-425, (2011)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric theta functions; biorthogonal functions; interpolation functions; symmetric abelian functions; generalized binomial coefficients; Jackson's summation formula; Bailey's transformation formula; Macdonald's conjectures for Koornwinder's polynomials; elliptic curves Rains, E., \(B C_n\)-symmetric abelian functions, Duke Math. J., 135, 99-180, (2006)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck topology; fibred category; stack; model category
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials profinite groups; non-commutative cohomology; Grothendieck-Teichmüller group; profinite completions; mapping class groups; actions of finite cyclic groups P. Lochak and L. Schneps, ''A cohomological interpretation of the Grothendieck-Teichmüller group,'' Invent. Math., vol. 127, iss. 3, pp. 571-600, 1997.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials characterizing complete intersections; codimension two subvarieties; splitting of the normal bundle; threefold; double structure Basili B. and Peskine C., Décomposition du fibré normal des surfaces lisses de \({\mathbb{P}^{4}}\) et structures doubles sur les solides de \({\mathbb{P}^{5}}\), Duke Math. J. 69 (1993), 87-95.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bott-Samelson cycles; Cartan Numbers; Schubert varieties; degrees; compex structures; Weyl group; Kaehler sequence; Cartan matrix; flag manifolds Duan, H.: The degree of a Schubert variety. Advances in Mathematics 180(1), 112--133 (2003)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck rings; automorphism schemes; triangulated group schemes
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Betti numbers; group embeddings; idempotents; monoid BB-cells; Poincaré polynomials; rationally smooth reductive monoids; semisimple algebraic monoids; toric varieties L. Renner, \textit{Rationally smooth algebraic monoids}, Semigroup Forum \textbf{78} (2009), 384-395.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomial; Young tableau; rc-graph; crystal graph; Kohnert diagram Lenart, C.: A unified approach to combinatorial formulas for Schubert polynomials. J. Algebr. Comb. 20, 263--299 (2004)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Double integrals; algebraic functions
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert problem; \(K\)-theory Knutson, A.; Yong, A., A formula for K-theory truncation Schubert calculus, Int. Math. Res. Not., 70, 3741-3756, (2004)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert variety; hive; honeycomb; factor Bercovici, H., Collins, B., Dykema, K., Li, W.S., Timotin, D.: Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor. J. Funct. Anal. 258, 1579--1627 (2010)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials numerical homotopy algorithms; systems of polynomial equations; Schubert calculus; SAGBI basis Huber, B; Sottile, F; Sturmfels, B, Numerical Schubert calculus, J. Symb. Comp., 26, 767-788, (1998)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; rational smoothness; Billey-Postnikov decompositions
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Lipschitz classification; quasihomogeneous polynomials; Hölder triangle; moduli L. Birbrair, A. Fernandes, and D. Panazzolo, Lipschitz classification of functions on a Hölder triangle, Algebra i Analiz 20 (2008), no. 5, 1 -- 8; English transl., St. Petersburg Math. J. 20 (2009), no. 5, 681 -- 686.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials semistable points; line bundle; Coxeter element; Schubert varieties Kannan, S. S.; Pattanayak, S. K., Torus quotients of homogeneous spaces-minimal dimensional Schubert varieties admitting semi-stable points, \textit{Proc. Indian Acad. Sci. (Math. Sci.)}, 119, 4, 469-485, (2009)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Galois category; Grothendieck topos; strict epimorphism; Galois theory; coverings Dubuc, E. J.; De La Vega, C. S.: On the Galois theory of Grothendieck. Bol. acad. Nac. cienc. Cordoba 65, 111-136 (2000)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Artin algebras; differential operator; Krull dimension; Grothendieck groups; differential operators; Krull dimension 1; normalization.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert cells; flags; number of orbits; action of finite group B. Shapiro, M. Shapiro, and A. Vainshtein, ''Skew-symmetric vanishing lattices and intersections of Schubert cells,'' Internat. Math. Res. Notices, 11(1998), 563--588
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials regular varieties; subvarieties; flag varieties; Schubert subvarieties; equivariant cohomology J. B. Carrell and K. Kaveh, On the equivariant cohomology of subvarieties of a \({\mathfrak B}\) -regular variety, Transform. Groups 13 (2008), 495-505.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck-Riemann-Roch; vector bundles; equivariant geometry; fibration; fixed point formula
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials indecomposability; étale fundamental group; hyperbolic curve; configuration space; Grothendieck-Teichmüller group
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gröbner degenerations of matrix Schubert varieties; Stanley symmetric functions
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials vanishing cycles; Poisson varieties; Uhlenbeck spaces; double affine Grassmannian Finkelberg, M. V.; Kubrak, D. V., Vanishing cycles on Poisson varieties, Funct. Anal. Appl.. Funct. Anal. Appl., Funktsional. Anal. i Prilozhen., 49, 2, 70-78, (2015), Translation of
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials surface singularity; Durfee's conjecture; weighted homogeneous polynomials; Milnor number; multiplicity; genus; signature Némethi, A.: Dedekind sums and the signature of \(f(x,y)+z^N\). II. Selecta. Math. (N.S.) \textbf{5}, 161-179 (1999)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Sarkisov link; Francia antiflip; quartic double solid Grinenko, M M, New Mori structures on a double space of index 2, Russ. Math. Surveys, 59, 573-574, (2004)
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