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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Brylinski-Kostant filtrations; cotangent bundle cohomology; flag varieties; Kazhdan-Lusztig polynomials; \(sl_2\)-triples; nilpotent elements Hague C.: Cohomology of flag varieties and the Brylinski-Kostant filtration. J. Algebra 321, 3790--3815 (2009) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Hilbert schemes; affine plane; Grothendieck-Deligne map; Gröbner cells; zeta functions; plane curve singularities | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials diagram algebra; symmetric polynomials; category \({\mathcal O}\); Soergel modules; Khovanov algebra; general linear Lie algebra; Serre category; categorification Sartori, A.: A diagram algebra for Soergel modules corresponding to smooth Schubert varieties. Trans. Amer. Math. Soc. (2013). 10.1090/tran/6346 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials action of algebraic torus; semistable points; Mumford quotient; Cartier divisor; multigraded modules; Joseph polynomials M. Brion and C. Procesi, Action d'un tore dans une variété projective, Operator algebras, unitary representations, enveloping algebras, and invariant theory (Paris 1989), Progr. Math. 92, Birkhäuser, Boston (1990), 509-539. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Calabi-Yau threefold; Clemen's conjecture; étale double covering; rigid | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials special Schubert classes; Schubert varieties; Bruhat order; Pieri type formulas; Weyl groups; parabolic groups; isotropic flag manifolds; cohomology \beginbarticle \bauthor\binitsN. \bsnmBergeron and \bauthor\binitsF. \bsnmSottile, \batitleA Pieri-type formula for isotropic flag manifolds, \bjtitleTrans. Amer. Math. Soc. \bvolume354 (\byear2002), no. \bissue7, page 2659-\blpage2705 \bcomment(electronic). \endbarticle \OrigBibText ----, A Pieri-type formula for isotropic flag manifolds , Trans. Amer. Math. Soc. 354 (2002), no. 7, 2659-2705 (electronic). \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials factorization of polynomials; polynomial complexity; algorithm; irreducible components; variety D. Yu. Grigor'ev, ''Decomposition of polynomials over a finite field and solution of systems of algebraic equations,'' Zap. Nauchn. Semin. Leningr. Otdel. Mat. Inst.,137, 20--79 (1984). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Euler characteristics for links of Schubert cells; Hodge filtrations; train of the flag; weight Shapiro, B. Z.; Vainshtein, A. D.: Euler characteristics for links of Schubert cells in the space of complete flags. Adv. sov. Math. 1, 273-286 (1990) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; Chow-Arakelov ring; Grassmannians; height; Plücker embedding | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Waring problems; polynomials; secant varieties M. V. Catalisano, L. Chiantini, A. V. Geramita, and A. Oneto Waring-like decompositions of polynomials, 1, Linear Algebra Appl. 533 (2017), 311--325. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Galois descent; cohomological descent; hypercovering; simplicial space; Grothendieck's six operations; cotangent complex; first order deformation; algebraic stack; mixed Hodge theory; de Jong alteration; rigid cohomology; \(p\)-adic étale cohomology; \(p\)-adic Hodge theory; independence of \(\ell\) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert variety; toric variety Karuppuchamy, P., On Schubert varieties, Commun. Algebra, 41, 4, 1365-1368, (2013) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(K3\) surface; quartic surface; rational double point; line Veniani, D. C.: The maximum number of lines lying on a\textit{K}3 quartic surface. \textit{Math. Z.}285 (2017), no. 3-4, 1141--1166. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quantum algebras; quantized enveloping algebras; primitive ideals; quantum Schubert cells; quantum flag varieties; algebraic combinatorics | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; line bundles; semi-stable points S. S. Kannan, ``GIT related problems of the flag variety for the action of a maximal torus'' in Groups of Exceptional Type, Coxeter Groups and Related Geometries , Springer Proc. Math. Stat. 82 , Springer, New Delhi, 2014, 189-203. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials moduli of morphisms with fixed ramification behavior; Hurwitz spaces; polynomials; cohomology; point counts over finite fields | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials integer spin; Weierstrass polynomials; Riemannian surfaces; correlation functions | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(\chi_y\)-characteristic; flag variety; Riemann-Roch; Hall-Littlewood polynomial; Yang-Baxter equation; Hecke algebra; Macdonald polynomial; characteristic of Hirzebruch; spaces of cohomology; generating function; manifold; chern classes; cohomology ring; Grothendieck ring | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elliptic curve method; cofactorization; double-base representation; twisted Edwards curve; Montgomery curve; CADO-NFS | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag domains; cycles; Schubert varieties; intersection pairing | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck ring; Grassmanian; Dynkin diagram; global section | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials derived categories; Kuznetsov component; Enriques surfaces; Artin-Mumford double solids | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials vector bundles on projective surfaces; stable coherent sheaves; moduli spaces; gauge field theory; Donaldson polynomials; Seiberg-Witten invariants; Grauert-Mülich theorem; semi-stable sheaves; geometric invariant theory; conformal quantum field theory; Verlinde formula; Seiberg-Witten theory; Picard groups; determinantal line bundles; Gieseker-Maruyama moduli spaces; Donaldson-Uhlenbeck compactification; differential forms on moduli spaces of stable sheaves; birational properties Hu D.~Huybrechts and M.~Lehn. \newblock \em Geometry of moduli spaces of sheaves, Vol. E31 of \em Aspects in Mathematics. \newblock Vieweg, 1997. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials positive polynomials; sums of squares; sums of higher powers; convex polynomials; convex cones B. Reznick, \textit{Blenders}, Notions of Positivity and the Geometry of Polynomials (P. Brändén, M. Passare, M. Putinar, eds.), Trends in Mathematics, 345-373, Springer, Basel (2011) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmann manifolds; volume of Schubert cells | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials anabelian geometry; configuration space; generalized fiber subgroup; Grothendieck-Teichmüller group; hyperbolic curve; log-full subgroup | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials positroid varieties; Schubert calculus; Stanley symmetric functions; amplituhedron variety Lam, T., Amplituhedron cells and Stanley symmetric functions, Commun. Math. Phys., 343, 1025, (2016) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials plumbing; complex surface singularities; weighted graph; Gorenstein singularities; normal surface singularity; spin-structure; rational double points Larrión F., Seade J.: Complex surface singularities from the combinatorial point of view. Topol. Appl. 66(3), 251--265 (1995) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials noncommutative spaces; Frobenius bimodules; sheaves; Noetherian schemes; noncommutative vector bundles; categories of modules; Grothendieck categories | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials canonical maps; double covers | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials conductor; \(\ell \)-adic sheaf; wild ramification; Grothendieck-Ogg-Shafarevich formula; Swan class; characteristic class Takeshi Saito, Wild ramification of schemes and sheaves, Proceedings of the International Congress of Mathematicians. Volume II, Hindustan Book Agency, New Delhi, 2010, pp. 335 -- 356. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials degenerations; partial orders; Hall polynomials; nilpotent operators; invariant subspaces; Littlewood-Richardson tableaux | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials homological algebra; scheme; algebraic fundamental group; descent theory; Grothendieck topology; étale cohomology; monodromy theorem; nilpotent in the structure sheaf; Picard functor | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials genus four double covers of elliptic curves; rationality of moduli space of elliptic-hyperelliptic curves Bardelli, Fabio; Del Centina, Andrea: The moduli space of genus four double covers of elliptic curves is rational. Pac. J. Math. 144, No. 2, 219-227 (1990) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gromov-Witten invariants; virtual fundamental class; Grothendieck duality; derived category; moduli space; homology class Siebert, B., Algebraic and symplectic Gromov--Witten invariants coincide, Ann. Inst. Fourier (Grenoble) 49 (1999), 1743--1795. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Calabi-Yau; smoothing; ordinary double points | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials abelian varieties; supersingular; cyclotomic polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Painlevé VI equations; Okamoto transformations; elliptic curves; abelian differentials; Zolotarev polynomials; Green functions; annular domains; harmonic measures | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Knots; Jones polynomials; AJ Conjecture; Slope Conjecture; A-polynomial; non-commutative A-polynomial; Jones slope; tropicalization; tropical curve; tropical geometry; Newton polygon; quantization; BSP states; twist knots 6. S. Garoufalidis, Knots and tropical curves, in Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory, Contemporay Mathematics, Vol. 541 (American Mathematical Society Providence, 2011), pp. 83-101. genRefLink(16, 'S0218216516500577BIB006', '10.1090%252Fconm%252F541%252F10680'); | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials polynomials with rational coefficients; rational points | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Seiberg-Witten invariants; symplectic 4-manifolds; double branched cover; Spin-structures | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Klein surfaces; Yang-Mills equations; vector bundle; Poincaré polynomials Liu, Chiu-Chu Melissa; Schaffhauser, Florent, The Yang-Mills equations over Klein surfaces, J. topol., 6, 3, 569-643, (2013) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elimination theory; invariant theory; Jacobian ideals; Grothendieck's residue; Kronecker isomorphism Jouanolou, J.P., Aspects invariants de l'élimination, Adv. math., 114, 1, 1-174, (1995) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic complexity; decidability; exponent polynomials; polynomials in exponent inequalities; non-standard analysis N. Vorobjov. The complexity of deciding consistency of systems of polynomial in exponent inequalities.J. Symbolic Comput.,13, 139--173, 1992. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials transcendental algebraic geometry; Kaehler manifolds; Hodge theory; Hermitean vector bundles; algebraic curves; compact Riemann surfaces; compact algebraic surfaces; Torelli theorem; Chern number; moving frame; Schubert calculus; Grassmannians; complex-analytic geometry | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert codes; linear codes associated to Schubert varieties; minimum weight codewords; dual Schubert codes | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials division polynomials; twisted Jacobi Intersections curves | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials cohomology ring of a Schubert variety E. Akyıldız, A. Lascoux, and P. Pragacz, Cohomology of Schubert subvarieties of \?\?_{\?}/\?, J. Differential Geom. 35 (1992), no. 3, 511 -- 519. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials zerosets of polynomials; algebraic complexity; lower bounds for polynomial evaluation; additive and multiplicative branching complexities Bürgisser, P.; Lickteig, T.; Shub, M.: Test complexity of generic polynomials. J. complexity 8, 203-215 (1992) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials proof of Quillen-Lichtenbaum conjecture for curves and surfaces; higher Chow groups; transfer homomorphisms; presheaf with transfers; Grothendieck topology; Nisnevich topology; triangulated category of motives; Tate motive; motivic cohomology; motivic Borel-Moore homology; sheaves of equidimensional cycles A. Suslin, Algebraic \(K\)-theory and Motivic Cohomology, Proc. International Congress of Mathematicians, Zürich 1994, vol. 1, Birkhäuser, 1995, pp. 342-351. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials branch locus; minimal algebraic surfaces of general types; double cover; fibration; singular fibres Xianfang L.: Algebraic surfaces of general type with K 2 = 2p g 1 and p g 5. Acta Math. Sinica New Ser. 12(3), 234--243 (1996) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck residues; Newton polyhedra; toric varieties Gelfond O.A., Khovanskii A.G.: Toric geometry and Grothendieck residues. Mosc. Math. J 2(1), 99--112 (2002) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials curves over finite fields; Ringel-Hall algebra; coherent sheaves; quantum affine algebras; automorphic forms; Drinfeld double; Heisenberg double M. Kapranov, ''Eisenstein series and quantum affine algebras,'' J. Math. Sci. (New York), vol. 84, iss. 5, pp. 1311-1360, 1997. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials degeneration; Grassmannian; Schubert varieties; almost-transverse flags; linear series; ramification | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double reflection; incircular nets; integrability; geometry | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials determinantal formula; Schubert calculus; exterior algebras; Giambelli's formula; Grassmann schemes; symmetric structures; symmetric functions; symmetrizing operators; divided difference operators; intersection theory; universal splitting algebras Laksov, D. and Thorup, A., A determinantal formula for the exterior powers of the polynomial ring, Indiana Univ. Math. J. 56 (2007), 825--845. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(\mu\)-constant theorem; family of polynomials; singularities at infinity; Milnor number; Milnor number at infinity [3]A. Bodin, Invariance of Milnor numbers and topology of complex polynomials, Comment. Math. Helv. 78 (2003), 134--152. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials binomial exponential sums; rational points on curves; factors of polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials noncommutative polynomials; Kaplansky conjecture; quaternion algebra | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials glueing polynomials; Newton polyhedron; equisingular locus; plane curves; maximal number of cusps; critical points E. Shustin, Gluing of singular and critical points. \textit{Topology}\textbf{37} (1998), 195-217. MR1480886 Zbl 0905.14008 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials plane curves; double points; curvilinear schemes | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials free abelian group; character variety; mixed Hodge structures; Hodge-Deligne polynomials; equivariant E-polynomials; finite quotients | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials rigid analytic geometry; Mumford uniformization; semi-stable curves; modular curves; modular polynomials; supersingular elliptic curves | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials matrix Riccati differential equation; Riccati flow; Schubert variety | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials upper motives; Grothendieck motives; central simple algebras; Severi-Brauer varieties De Clercq, C., \textit{motivic rigidity of Severi-Brauer varieties}, J. Algebra, 373, 30-38, (2013) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck topologies; fibred categories; stacks; faithfully flat descent; algebraic spaces; algebraic stacks | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials categorification; \(K\)-theory; Grothendieck group; coherent shves; Functoriality; Chern charcater and index formula; Weyl character formula; Euler characteristic; étale cohomology; Grothendieck trace formula; Grassmannians and \(\mathfrak{sl}_2\); flag varieties; Hall algebras Webster, Ben, Knot invariants and higher representation theory, Memoirs of the Amer. Math. Soc., 250, v+141 pp., (2017) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Siegel's theorem; Siegel family; braid action on covers; Hurwitz spaces; unirationality criterion; rational functions; Hilbert's irreducibility theorem; exceptional polynomials P. Dèbes and M. Fried,Integral specialization of families of rational functions, Pacific Journal of Mathematics190 (1999), 45--85. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric product; characteristic classes; Grothendieck group Cappell , S. E. Maxim , L. Schüurmann , J. Shaneson , J. L. Yokura , S. Characteristic classes of symmetric products of complex quasi-projective varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials degeneracy locus; equivariant cohomology; flag variety; Schubert variety; Schubert polynomial; exceptional Lie group; octonions Anderson, D., Chern class formulas for \(G_2\) Schubert loci, Trans. Amer. Math. Soc., 363, 12, 6615-6646, (2011) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real algebraic geometry; enumerative geometry; real Schubert calculus | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double coverings; nef cone; symmetric product of curves Chan, K.: A characterization of double covers of curves in terms of the ample cone of second symmetric product. J. Pure Appl. Algebra \textbf{212}(12):2623-2632 (2008) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials sieve; fat point; Grothendieck pre-topology; auto-arc space; auto Igusa-zeta function; motivic integral | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials discrete valuation rings; degeneration of projective toric varieties; non-compact polyhedra; toric divisor; number of solutions of Laurent polynomials A. L. Smirnov, Torus schemes over a discrete valuation ring, Algebra i Analiz 8 (1996), no. 4, 161 -- 172 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 8 (1997), no. 4, 651 -- 659. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bruhat-Chevalley orders; Bruhat-Renner decompositions; Cohen-Macaulay rings; conjugacy classes; finite groups of Lie type; finite monoids of Lie type; Gorenstein rings; Hecke algebras; Kazhdan-Lusztig polynomials; linear algebraic monoids; reductive groups; reductive monoids; Putcha lattices of cross-sections; Renner monoids; representation theory; shellability; Stanley-Reisner rings; Weyl groups | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials zeros of polynomials; spectrum; Gelfand-Mazur Theorem; ideals; characters | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Chow ring; Schubert derivation; Schubert varieties; Pieri's formula; Giambelli's formula Gatto, L.: Schubert calculus via Hasse-Schmidt derivations. Asian J. Math. 3, 315-322 (2005) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials octic arrangements; Calabi-Yau resolution; topological Euler number; small resolution of double solid; isolated singularities S. Cynk, Double coverings of octic arrangements with isolated singularities , Adv. Theor. Math. Phys. 3 (1999), 217-225. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bordiga surface; set-theoretical complete intersection; double structure Rathmann, J.: Double structures on bordiga surfaces. Comm. algebra 17, 2363-2391 (1989) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Prym varieties; étale double cover; Prym theta divisor; Narasimhan-Ramanan-Verra map Smith, No article title, Pac. J. Math., 188, 353, (1999) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials instantons; BPS/CFT correspondence; Macdonald-Mehta-Cherednik identity; interpolation Macdonald polynomials; Fourier-Moukai operator E. Carlsson, N. Nekrasov and A. Okounkov, \textit{Five dimensional gauge theories and vertex operators}, arXiv:1308.2465 [INSPIRE]. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials vector bundles; \({\mathbb A}^{1}\)-homotopy; Grothendieck-Witt groups; obstruction theory A. Asok J. Fasel A cohomological classification of vector bundles on smooth affine threefolds http://arxiv.org/abs/1204.0770 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double cosets; Weyl group; root system; parabolic subgroup Helminck, A.: Combinatorics related to orbit closures of symmetric subgroups in flag varieties. CRM proc. Lecture notes 35, 71-90 (2004) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials ternary quartic surfaces; octahedral group; chambers; homogeneous polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Hilbert polynomial; Schubert cycle; Grassmannian; Hilbert function Ghorpade, S. R.: A note on Hodge's postulation formula for Schubert varieties. Geometric and combinatorial aspects of commutative algebra (Messina, 1999), 211-220 (2001) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials hypersurfaces; ordinary double points; factorial property I. A. Cheltsov, On a conjecture of Ciliberto , Sb. Math. 201 (2010), no. 7-8, 1069-1090. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; Lagrangian Grassmannian; free resolutions | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gröbner and toric degenerations; Grassmannians; semi-standard Young tableaux; Schubert varieties; Richardson varieties; standard monomial theory | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials singular Nash function germs; arc-analytic equivalence; Brieskorn polynomials; motivic zeta functions; virtual Poincaré polynomial | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck group; tensor product of vector bundles Aluffi, Paolo; Faber, Carel, A remark on the Chern class of a tensor product, Manuscripta Math., 0025-2611, 88, 1, 85-86, (1995) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quantum singularity theory; FJRW-theory; quantum cohomology group; Milnor fibre; Seifert form; invertible polynomials; Coxeter-Dynkin diagrams; Landau-Ginzburg models; Berglund-Hübsh-Henningson duality; Milnor lattice; mirror symmetry | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quadratic surfaces; polynomial equations; numerical methods; Schubert's problems; Schubert calculus; cohomology ring of flag varieties; Schubert triangle | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials supersingular \(K3\) surface; automorphism group; Fermat quartic; double sextic; Borcherds' method; Conway theory; chamber decomposition Kondō, S.; Shimada, I., The automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3, Int. Math. Res. Not. IMRN., 2014, 1885-1924, (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck ring for varieties with group actions; motivic zeta-functions; \(K\)-theory; Picard bundle; equivariant bundles; Weil conjectures; invariant theory | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials morphism to projective space; higher order singularities of a finite morphism; simple connectivity of varieties; successive degeneration of double points | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag varieties; Borel subgroups; Schubert cycles | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials motivic integration; geometry of algebraically closed valued fields; V-minimal expansions; definable sets; Grothendieck semigroup Hrushovski, E., Kazhdan, D.: Integration in valued fields. In: Algebraic Geometry and Number Theory. In Honor of Vladimir Drinfeld's 50th Birthday, pp. 261-405. Birkhäuser, Basel (2006) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Hurwitz numbers; tau functions; BKP; projective plane; Schur polynomials; Hall-Littlewood polynomials; hypergeometric functions; random partitions; random matrices S. M. Natanzon and A. Yu. Orlov, ''Hurwitz numbers and BKP hierarchy,'' arXiv:1407.8323v2 [nlin.SI] (2014). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weil-Tate reciprocity law; Koszul double complex; Krichever map; Nakayashiki-Mukai Fourier transform; differential operators Brylinski J.-L., Previato E.: Koszul Complexes, Differential Operators, and the Weil-Tate Reciprocity Law. J. Algebra 230, 89--100 (2000) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elliptic curve cryptosystems; generation of prime order elliptic curves; complex multiplication; class field polynomials Elisavet Konstantinou, Aristides Kontogeorgis, Yannis C. Stamatiou, and Christos Zaroliagis, Generating prime order elliptic curves: difficulties and efficiency considerations, Information security and cryptology --- ICISC 2004, Lecture Notes in Comput. Sci., vol. 3506, Springer, Berlin, 2005, pp. 261 -- 278. | 0 |
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