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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag manifold; quantum cohomology ring; Schubert class; affine Grassmanian; quantum Bruhat graph; quantum Chevalley formula; strange duality of \(QH^*(G/P)\) Lam, Thomas; Shimozono, Mark, Quantum cohomology of \(G/P\) and homology of affine Grassmannian, Acta Math., 204, 1, 49-90, (2010) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials étale cohomology; \(l\)-adic cohomology; theory of descent; étale fundamental group; group cohomology; Galois cohomology; duality theory; Grothendieck topology; derived categories Fu, L., Etale cohomology theory, pp., (2015), World Scientific, Hackensack, NJ | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double point divisors; base locus; linear projections; regularity Noma, A., Generic inner projections of projective varieties and an application to the positivity of double point divisors, Trans. Amer. Math. Soc., 336, 4603-4623, (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials free abelian covers; Betti numbers; characteristic varieties; Grassmannians; Schubert varieties Suciu, AI, Characteristic varieties and Betti numbers of free abelian covers, Int. Math. Res. Not. IMRN, 2014, 1063-1124, (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Fano variety; birational automorphisms; ample divisors; birationally superrigid Fano fibration; pencil of double quadrics | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials reciprocity; duality; motivic cohomology group; higher dimensional class field theory; Hasse principle; Brauer-Grothendieck group S. Saito, ''Some observations on motivic cohomology of arithmetic schemes,'' Invent. math., vol. 98, iss. 2, pp. 371-404, 1989. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomial; pattern avoidance; Rothe diagram | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck standaard conjecture of Lefschetz type; threefold | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(K\)-theory; algebraic cycles; Grothendieck topology; Chow group; motivic cohomology; localization property; Quillen-Lichtenbaum conjecture; étale cohomology; Bloch-Kato conjecture Marc Levine, Homology of algebraic varieties: an introduction to the works of Suslin and Voevodsky, Bull. Amer. Math. Soc. (N.S.) 34 (1997), no. 3, 293 -- 312. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials triangulated category; derived cateogry; Grothendieck group; affine scheme; algebraic variety; perfect complexes; tensor subcategories; higher-dimensional Cartier cycles R. W. Thomason, The classification of triangulated subcategories. \textit{Compositio Math.} 105 (1997), no. 1, 1--27.MR 1436741 Zbl 0873.18003 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bibliography; adjunction theory; threefolds; ampleness; Hilbert schemes; Mori's theory; Kawamata's rationality theorem; adjoint bundles; double point formula for threefolds; Chern inequalities M. C. Beltrametti, A. J. Sommese, \textit{The adjunction theory of complex projective varieties}, volume 16 of \textit{de Gruyter Expositions in Mathematics}. De Gruyter 1995. MR1318687 Zbl 0845.14003 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real algebraic geometry; Gaussian field; harmonic polynomials; critical point theory; Hilbert's sixteenth problem Fyodorov, Yan V.; Lerario, Antonio; Lundberg, Erik, On the number of connected components of random algebraic hypersurfaces, J. Geom. Phys., 95, 1-20, (2015) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Symanzik polynomials; spanning trees and forests; exchange graph; Feynman amplitudes; height pairing on Riemann surfaces | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomial; Littlewood-Richardson rule; tabloid; sign-reversing involution; Yamanouchi word | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Double flag variety; Cox ring; complexity; linear representation; tensor product of representations; branching problem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gauss-Manin connection; Bombieri-Dwork conjecture; arithmetic results; values of G-functions at algebraic points; applications of G-function theory; geometric differential equations; Fuchsian differential systems; heights; linear independence; global relations; Grothendieck's conjecture; algebraic relations between periods of algebraic varieties; bound for the heights of certain abelian varieties with a large endomorphism ring; transcendence André, Y.: G-functions and Geometry, Aspects of Mathematics, vol. E13. Friedr. Vieweg & Sohn, Braunschweig (1989) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real Schubert calculus; B. \& M. Shapiro conjecture; Bethe ansatz; Gaudin model \beginbarticle \bauthor\binitsE. \bsnmMukhin, \bauthor\binitsV. \bsnmTarasov and \bauthor\binitsA. \bsnmVarchenko, \batitleThe B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz, \bjtitleAnn. of Math. (2) \bvolume170 (\byear2009), no. \bissue2, page 863-\blpage881. \endbarticle \OrigBibText E. Mukhin, V. Tarasov and A. Varchenko, The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz, Ann. of Math. (2) 170 (2009), no. 2, 863-881. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials reductive group schemes; principal G-bundles; Grothendieck-Serre's conjecture | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials spacelike surfaces; double null foliations; null hypersurfaces; marginal surfaces; black hole horizons | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials indecomposable projective modules; Chow group; Grothendieck group; divisor class group of a normal projective variety | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials 3-fold; double cover of projective 3-space; intermediate Jacobian; theta divisor; Abel-Jacobi map; constructive Torelli theorem Voisin, Claire, Sur la jacobienne intermédiaire du double solide d'indice deux, Duke Math. J., 57, 2, 629-646, (1988) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Young tableaux; monodromy; Schubert calculus; \(K\)-theory; osculating flag; jeu de taquin | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials hyperfields; polynomials; ordered blueprints; Newton polygons; valuations; tropical algebra | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials dualizing complex; Grothendieck duality | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(L\)-functions of symmetric representations; characteristic \(p\) Igusa curves; number of rational points; first étale cohomology groups; Hecke polynomials Amílcar Pacheco, Rational points on Igusa curves and \?-functions of symmetric representations, J. Number Theory 58 (1996), no. 2, 343 -- 360. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials non-commutative schemes; quasi-schemes; quasi-coherent sheaves; quantum algebras; quantum planes; curves; Grothendieck categories; graded modules; enveloping algebras S. P. Smith and J. J. Zhang,Curves on quasi-schemes, Algebras and Representation Theory1 (1998), 311--351. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials affine space; polynomials over finite fields; linearized polynomial; group of polynomial automorphisms; group of tame automorphisms Joost Berson, Derivations of polynomial rings over a domain, Master's thesis, University of Nijmegen, June 1999. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symbolic computation; complexity analysis; polynomial absolute factorization; parametric polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials resolution graphs; log-canonical singularities; Euler characteristic; Picard number; rational-double-point-resolution [B1] Blache, R.: Moishezon-Flächen mit log-canonischen Singularitäten. Dissertation, Bochum 1992 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck group of varieties; Deligne-Mumford stack; destackification; weak factorization | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic cycles; Bloch-Beilinson filtration; Bloch's conjecture; Chow groups; (double) EPW cubes; hyperkähler varieties; \(K3\) surfaces; motives; multiplicative Chow-Künneth decomposition; non-symplectic involution; splitting property | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials secant varietys \(X\)-ranks zero-dimensional schemes variety with only one ordinary double points | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gromov-Witten invariants; mirror symmetry; Grothendieck-Riemann-Roch theorem; Lefschetz hyperplane section principle; Serre duality T. Coates, A. Givental, Quantum Riemann-Roch, Lefschetz and Serre. \textit{Ann. of Math}. (2) \textbf{165} (2007), 15-53. MR2276766 Zbl 1189.14063 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials germ of a real analytic function; singularities of real varieties; rational double points; simple critical points; Dynkin diagrams; real singularities A. Durfee, 14 characterizations of rational double points (to appear). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials number of elements; Hilbert polynomials; reduced Newton polyhedron A.G. Khovanskii , Newton polyhedron, Hilbert polynomial, and sums of finite sets. Functional . Anal. Appl. 26 ( 1992 ), 276 - 281 . MR 1209944 | Zbl 0809.13012 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Stanley-Reisner ring; straightening law; standard bitableaux; Abhyankar formula; Hilbert polynomial; determinantal ideals; nonintersecting lattice paths; Hilbert series; Hilbert function; Schubert varieties DOI: 10.1016/0378-3758(95)00156-5 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials convexity; extreme points; polynomials L. MILEV, N. NAIDENOV, \textit{Strictly definite extreme points of the unit ball in a polynomial space}, C. R. Acad. Bulgare Sci. 61 (2008), 1393--1400. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Double-base number system; elliptic curve cryptography | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert variety; variation of Hodge structure; infinitesimal period relation; Griffiths' transversality; Hodge theory; Mumford-Tate group Robles, C., \textit{Schubert varieties as variations of Hodge structure}, Selecta Math. (N.S.), 20, 719-768, (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials stability; tangent bundle; double covering; Frobenius morphism | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symplectic structure; moment map; hyper-Kähler quotients; Dynkin diagrams; vertex algebra; symmetric products; Hilbert scheme of points; Poincaré polynomials; Heisenberg algebra; Morse theory; intersection cohomology H. Nakajima, \textit{Lectures on Hilbert schemes of points on surfaces}, \textit{University Lecture Series}\textbf{18}, American Mathematical Society, Providence RI U.S.A., (1999). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Mellin-Barnes integrals; hypergeometric series; Laurent polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic stacks; group actions on schemes; tensor categories; Grothendieck topologies; duality theory; vector bundles; scheme; fibered categories; Tannakian categories Savin, V, Tannaka duality for quotient stacks, Manuscripta math., 119, 287-303, (2006) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials rank deficiency; matrix of polynomials; homotopy continuation; irreducible components; numerical algebraic geometry; polynomial system; Grassmannians D.J. Bates, J.D. Hauenstein, C. Peterson, and A.J. Sommese, \textit{Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials}, in Approximate Commutative Algebra, Texts Monogr. Symbol. Comput., Springer, Vienna, 2009, pp. 55--77. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double covering Bujalance, E., Gromadzki, G.: On ramified double covering maps of Riemann surfaces. J. Pure Appl. Algebra 146(1), 29--34 (2000) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomial; crystal; Lascoux polynomial; quantum group; set-valued tableau; Kohnert move; skyline tableau | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials enumerative formulae; triple contacts of plane curves; Schubert triangles; variety of the second-order data Roberts-Speiser , '' Enumerative Geometry of Triangles, I '' Comm. in Alg. 12(10) 1213-1255 (1984). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials fixed point set; flag variety; unipotent element; irreducible components; Young tableaux; Kazhdan-Lusztig polynomials; intersection codimensions; Jordan blocks J.Wolper, Some intersection properties of the fibres of Springer's resolution, Proc. Am. Math. Soc. 91 (1984), 182--188. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials mechanization; automated theorem proving; computer algebra; zeros of polynomials; Gröbner basis; robotics; CAGD Wu W T, \textit{Mathematics Mechanization}, Science Press and Kluwer Academic Publishers, Beijing, 2000. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials sums of squares; symmetric polynomials; semidefinite programming | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Rook length polynomial; projective variety; partition variety; Grassmannian manifold; flag manifold; Schubert cells; Bruhat order K. Ding, Rook placements and cellular decomposition of partition varieties, Discrete Math. 170 (1997), 107-151. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Torelli's theorem for smooth projective curves; double points; theta divisor; Jacobian variety Ciliberto, C.; Sernesi, E., \textit{singularities of the theta divisor and congruences of planes}, J. Algebr. Geom., 1, 231-250, (1992) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Richardson variety; Schubert variety; singularity A. Knutson, A. Woo, and A. Yong, Singularities of Richardson varieties, \textit{Math. Res. Lett.}, 20 (2013), no. 2, 391--400.Zbl 1298.14053 MR 3151655 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials motivic integration; arc space; Grothendieck ring Loeser, François, Seattle lectures on motivic integration.Algebraic geometry---Seattle 2005. Part 2, Proc. Sympos. Pure Math. 80, 745-784, (2009), Amer. Math. Soc., Providence, RI | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; puzzles; Grassmannian; symplectic Grassmannian | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Manin's identity principle; abelian variety; motives; Chow motives; algebraic cycles; Grothendieck motives A. J. Scholl, ''Classical motives,'' in Motives, Proc. Sympos. Pure Math., Seattle, WA, 1991 (Amer. Math. Soc., Providence, RI, 1994), Vol. 55, Part 1, pp. 163--187. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; Grassmann variety; Schubert cycle; representation of unitary group; intersection numbers | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials threefold; Néron-Severi group; 3-dimensional quadric; Chern numbers; Miyaoka bound; number of double points C. Schuhmann, Math. Ann. 306(3), 571 (1996). 3-quadrics | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials expected codimension; Grassmannian; matroid; matroid variety; positroid; positroid variety; Schubert variety; valuativity Nicolas Ford, The expected codimension of a matroid variety, J. Algebraic Combin. 41 (2015), no. 1, 29 -- 47. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck conjecture; hyperbolic curve; Kummer-faithful field | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag variety; Schubert variety; tangent cone; reduced tangent cone; involution in the Weyl group; Kostant-Kumar polynomial Bochkarev, M; Ignatyev, M; Shevchenko, A, Tangent cones to Schubert varieties in types \(A_n\), \(B_n\) and \(C_n\), J. Algebra, 465, 259-286, (2016) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Polynomials over finite fields; Curves over finite fields with many rational points Deolalikar, V., Extensions of algebraic function fields with complete splitting of all rational places, Comm. Algebra, 30, 6, 2687-2698, (2002) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials coordinate polynomials; endomorphism; Jacobian conjecture; test polynomial Essen, A; Shpilrain, V, Some combinatorial questions about polynomial mappings, J. Pure Appl. Algebra, 119, 47-52, (1997) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials surface of general type; Albanese map; double covering | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials isotropic Grassmannian; Schubert calculus; Littlewood-Richardson rule; \(T\)-equivariant cohomology; Graham-positive; equivariant Pieri rule Li, C.; Ravikumar, V.: Equivariant Pieri rules for isotropic grassmannians | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials minuscule weights; co-minuscule roots; Schubert varieties; automorphism groups | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials contact singularities; equivariant localization; Thom polynomials Bérczi, G.; Szenes, A., Thom polynomials of morin singularities, Ann. of Math. (2), 175, 567-629, (2012) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials normality of the Schubert subvarieties in homogeneous space; Schubert varieties are Frobenius split V. B. Mehta and V. Srinivas, Normality of Schubert varieties, Amer. J. Math. 109 (1987), 987--989. JSTOR: | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials singular loci; varieties of complexes; Schubert varieties V. Lakshmibai. Singular loci of varieties of complexes. \textit{J. Pure Appl. Algebra} 152 (2000), 217--230. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert variety; cohomology of line bundles; semisimple algebraic group; root system Paramasamy, K.: Cohomology of line bundles on Schubert varieties: the rank two case, Proc. indian acad. Sci. 114, No. 4, 345-363 (2004) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials affine Kac-Moody Lie algebra; conjugacy; reductive group scheme; torsor; Laurent polynomials; non-abelian cohomology Chernousov, V.; Gille, P.; Pianzola, A.; Yahorau, U.: A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. J. algebra 399, 55-78 (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials matrix polynomials; positive polynomials; preordering; sum of squares; Positivstellensatz Cimprič, J., Real algebraic geometry for matrices over commutative rings, J. Algebra, 359, 89-103, (2012) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Algebraic K-Theory, Dévissage, Localization, Grothendieck ring of varieties, motives | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials determinantal formula; Weyl groups; Grassmannians; Lagrangian; Schubert cycles; Chern classes A. Kresch and H. Tamvakis, ''Double Schubert Polynomials and Degeneracy Loci for the Classical Groups,'' Ann. Inst. Fourier 52(6), 1681--1727 (2002). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials homotopical algebraic geometry; gerbes; Grothendieck topologies; cohomology theories; simplicial sheaves; model categories Toën, Bertrand, Champs affines, Selecta Math. (N.S.), 1022-1824, 12, 1, 39-135, (2006) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Alexander polynomials; plane curves M Oka, A new Alexander-equivalent Zariski pair, Acta Math. Vietnam. 27 (2002) 349 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials tensors; eigenvalues; eigenvalue distribution; random polynomials; computational algebraic geometry P. Breiding and P. Bürgisser, \textit{Distribution of the eigenvalues of a random system of homogeneous polynomials}, Linear Algebra Appl., 497 (2016), pp. 88--107, . | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials honeycombs; symmetric functions; Littlewood-Richardson rule; puzzles; Hermitian matrix; eigenvalue problems; Schubert calculus; Grassmannian A. Knutson, T. Tao and C. Woodward, The honeycomb model of GLn tensor products II: Puzzles determine facets of the Littlewood-Richardson cone. \textit{Journal of the American Mathematical Society }17 (2004), 19--48. arXiv:math/0107011.Zbl 1043.05111 MR 2015329 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials mixed ladder determinantal varieties; Schubert varieties Gonciulea, N.; Miller, C., Mixed ladder determinantal varieties, \textit{J. Algebra}, 231, 1, 104-137, (2000) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Borel-Weil-Bott theorem; cohomology with support; spherical varieties; wonderful varieties; flag varieties; Grothendieck-Cousin complex; cohomology of line bundles; Verma modules Tchoudjem, A., Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal, Bull. Soc. Math. France, 135, 2, 171-214, (2007) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials motivic characteristic classes; singular space; Hirzebruch class; Grothendieck group; bivariant theory; genus; Riemann-Roch; Donaldson-Thomas invariants | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials multisymmetric polynomials; ideal of relations; highest weight vectors 11.Domokos, M., Puskás, A.: Multisymmetric polynomials in dimension three. J. Algebra 356, 283-303 (2012) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials intermediate Jacobians; Fano varieties; threefolds; theta divisors; families of curves; quartic double solids; moduli spaces of stable vector bundles; Abel-Jacobi map Markushevich, D.G., Tikhomirov, A.S.: A parametrization of the theta divisor of the quartic double solid. Int. Math. Res. Not. \textbf{2003}(51), 2747-2778 (2003) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus \beginbarticle \bauthor\binitsM. \bsnmBrion, \batitlePositivity in the Grothendieck group of complex flag varieties, \bjtitleJ. Algebra \bvolume258 (\byear2002), no. \bissue1, page 137-\blpage159. \endbarticle \OrigBibText Michel Brion, Positivity in the Grothendieck group of complex flag varieties , J. Algebra 258 (2002), no. 1, 137-159. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Cohen-Macaulayness of Schubert variety; characteristic p; Frobenius-splitting Mehta, V.; Srinivas, V.: A note on Schubert varieties in G/B. Math. ann. 284, 1-5 (1989) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials eigenvalue problem; equivariant cohomology; Schubert calculus; Littlewood-Richardson coefficients; Hermitian matrices; Grassmannians | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmann variety; Schubert divisor; linear code; automorphism group; Grassmann code; affine Grassmann code Ghorpade S.R., Kaipa K.V.: Automorphism groups of Grassmann codes. Finite Fields Appl. \textbf{23}, 80-102 (2013). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials tensor category; Grothendieck ring; J.-P. Serre | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials orbifold Del Pezzo surfaces; cyclic quotient singularities; Fano polygons; mutation-equivalence classes; \(\mathbb Q\)-Gorenstein deformation classes; mirror symmetry; mutable Laurent polynomials M. Akhtar, T. Coates, A. Corti, L. Heuberger, A. Kasprzyk, A. Oneto, A. Petracci, T. Prince, K. Tveiten, Mirror symmetry and the classification of orbifold del Pezzo surfaces. \textit{Proc. Amer. Math. Soc}. \textbf{144} (2016), 513-527. MR3430830 Zbl 06548665 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials threefold; double cover of projective 3-space branched along a sextic surface; Abel-Jacobi map; Albanese variety; intermediate Jacobian | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials reductive group; moment polytope; Newton polytope; horospherical variety; Bernstein-Kushnirenko theorem; Grothendieck group K. Kaveh and A. G. Khovanskii, ''Newton polytopes for horospherical spaces,'' Mosc. Math. J., vol. 11, iss. 2, pp. 265-283, 407, 2011. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Matroids; permutation arrays; Schubert calculus; tropical hyperplane arrangements; Littlewood-Richardson coefficients Ardila, F.; Billey, S., \textit{flag arrangements and triangulations of products of simplices}, Adv. Math., 214, 495-524, (2007) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials étale and other Grothendieck topologies and cohomologies; Ramification and extension theory Hu, H., Yang, E.: Semi-continuity for total dimension divisors of étale sheaves. Int. J. Math. \textbf{28}(1), 1750001, 1-21 (2017) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials moduli of curves; rational curves with cusps; osculating flag; Schubert cycle; Brill-Noether problem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \({\mathcal D}\)-modules; Bernstein polynomials P. Maisonobe, \(\scr D\)-modules: an overview towards effectivity , Computer algebra and differential equations (1992), London Math. Soc. Lecture Note Ser., vol. 193, Cambridge Univ. Press, Cambridge, 1994, pp. 21-55. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials higher Chow groups; Grothendieck group; derived categories; patching S. E. Landsburg, Relative cycles and algebraic \(K\)-theory , preprint, 1985. JSTOR: | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert variety; Grassmannian; multiplicity; Robinson-Schensted-Knuth correspondence S. Upadhyay, \textit{Initial ideals of tangent cones to Richardson varieties in the orthogonal Grassmannian via a orthogonal-bounded-RSK-correspondence}, preprint, http://arxiv.org/abs/0909.1424. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Hermitian sums of squares; Hilbert's 17th problem; positivity classes; Hermitian symmetric polynomials Halfpap, Jennifer; Lebl, Jiří, Signature pairs of positive polynomials, Bull. Inst. Math. Acad. Sin. (N.S.), 2304-7909, 8, 2, 169-192, (2013) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Coxeter systems; generalized Kazhdan-Lusztig polynomials; twisted involutions; affine Weyl groups; weight multiplicities; Langlands dual groups; Hermitian forms; irreducible representations George Lusztig and Zhiwei Yun, A (-\?)-analogue of weight multiplicities, J. Ramanujan Math. Soc. 28A (2013), 311 -- 340. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials resolvent degree; polynomials; lines on cubic surfaces | 0 |
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