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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Macdonald polynomials; Hall-Littlewood polynomials; affine Schubert calculus; quantum Schubert calculus; type-A affine Weyl group; affine Grassmannian; Gromov-Witten invariants; Bruhat order; weak \(k\)-Pieri rule; \(k\)-tableaux; affine Bruhat counter-tableaux | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric functions; Grothendieck polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double affine Hecke algebras; nil-DAHAs; nonsymmetric Macdonald polynomials; Whittaker functions I. Cherednik and D. Orr. ''One-dimensional nil-DAHA and Whittaker functions I''. Trans form. Groups 17 (2012), pp. 953--987.DOI. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric groups; Grothendieck polynomials; Hecke insertion; Schur \(P\)-functions; flag varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double discrete logarithm; interpolation polynomials; finite fields; elliptic curves Meletiou, G.C., Winterhof, A.: Interpolation of the double discrete logarithm. In: von~zur Gathen, J. Imaña, J.L., Koç, Ç.K. (eds.) Arithmetic of Finite Fields, 2nd International Workshop, WAIFI 2008, Siena, Italy, July 6-9, 2008. Lecture Notes in Computer Science, Vol. 5130, pp. 1-10. Springer (2008). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials cohomology ring; action of the symmetric group; degenerate affine Hecke algebra; variety of complete flags; Schubert polynomials; Schubert cycles Lascoux A., Leclerc B., Thibon J.-Y.: Twisted action of the symmetric group on the cohomology of the flag manifold. Banach Center Publications, Vol. 36, 1996, pp. 111--124 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials degeneracy loci; quiver polynomials; generalized Littlewood--Richardson coefficients; Schubert polynomials Yong, A.: On combinatorics of quiver component formulas. J. Algebr. Comb. 21, 351--371 (2005) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur polynomials; Schubert polynomials; Thom polynomials; method of restriction equations Fehér, L.; Rimányi, R., Schur and Schubert polynomials as thom polynomials--cohomology of moduli spaces, Cent. eur. J. math., 1, 4, 418-434, (2003) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; spherical varieties; key polynomials; split symmetry | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quivers of type \(A\); representation spaces; Ringel-Hall algebras; canonical bases; categories of representations; symmetric functions; quantum groups; flag varieties; nilpotent orbits; Schubert varieties; Kazhdan-Lusztig polynomials; Schur-Weyl duality; affine Hecke algebras Schiffmann, O., Quivers of type \textit{A}, flag varieties and representation theory, Fields inst. commun., vol. 40, 453-479, (2004), Amer. Math. Soc. Providence, RI | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubitopes; Newton polytopes; Schubert polynomials; Schubert intersection numbers | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Demazure characters; monomial slide polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Coxeter groups; Poincaré polynomials; palindromic polynomials; palindromic elements; Schubert varieties; rational smoothness; triangle groups; pattern avoidance Richmond, E; Slofstra, W, Rationally smooth elements of Coxeter groups and triangle group avoidance, J. Algebra. Comb., 39, 659-681, (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Schubert functors; Kraśkiewicz-Pragacz modules; Schubert calculus Watanabe, M.: Tensor product of kraśkiewicz-pragacz modules. J. algebra 443, 422-429 (2015) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; \(k\)-Schur functions; affine Grassmannian; \(r\)-Bruhat order; strong order | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomials; Lascoux's transition formula; posets Cristian Lenart, A \?-theory version of Monk's formula and some related multiplication formulas, J. Pure Appl. Algebra 179 (2003), no. 1-2, 137 -- 158. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials maximal flag; open Schubert cell; Kazhdan-Lusztig polynomials; intersection of transversal flags B. Shapiro, M. Shapiro, and A. Vainshtein, Connected components in the intersection of two open opposite Schubert cells in \?\?_{\?}(\?)/\?, Internat. Math. Res. Notices 10 (1997), 469 -- 493. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck ring; representations of group of automorphisms; double rational singularity | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Buch-Rimányi formula; double Grothendieck polynomial; specialization | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real algebraic sets; arc-symmetric sets; spaces of arcs; Grothendieck ring; virtual Bett numbers; zeta functions; classification of analytic germs; hyperbolic polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elliptic curves; finite fields; Hall algebras; Cherednik Hecke algebras; Macdonald polynomials; double affine Hecke algebras Schiffmann (O.), and Vasserot (E.).â The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials, Compos. Math. 147, p. 188-234 (2011). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quiver varieties; Stanley symmetric functions; Schubert polynomials; Schur functions; Littlewood-Richardson conjecture; Littlewood-Richardson coefficients A.S. Buch, ''Stanley symmetric functions and quiver varieties,'' J. Algebra 235 (2001), 243--260. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Pieri's rule; Monk's rule; tower diagram | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck ring; affine line; Pfaffian-Grassmanian double mirror correspondence | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quasisymmetric Schur functions; Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomials of Grassmannian type; Stembridge's cancelation argument Ikeda, T.; Shimazaki, T., A proof of \textit{K}-theoretic Littlewood-Richardson rules by Bender-Knuth-type involutions, Math. res. lett., 21, 2, 333-339, (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials dual equivalence; key polynomials; slide polynomials; Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; Giambelli formulas; Schubert polynomials; degeneracy loci; equivariant cohomology Tamvakis, H., \textit{Giambelli and degeneracy locus formulas for classical G/P spaces}, Mosc. Math. J., 16, 125-177, (2016) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Gröbner geometry; Young tableau | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric Grothendieck polynomials; semistandard Young tableaux; set-valued tableaux | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Newton polytopes; computational complexity | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials phase transitions; Grothendieck rings; Tutte polynomials Aluffi, P.; Marcolli, M., A motivic approach to phase transitions in Potts models, J. Geom. Phys., 63, 6-31, (2013) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Stanley symmetric functions; pipe dreams; reduced decompositions; quasisymmetric functions S. Assaf and D. Searles. ''Schubert polynomials, slide polynomials, Stanley symmetric func tions and quasi-Yamanouchi pipe dreams''. Adv. Math. 306 (2017), pp. 89--122.DOI. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials tangent cones; involutions in Weyl groups; Kostant-Kumar polynomials; Schubert varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Arakelov theory; flag varieties; arithmetic intersection theory; Bott-Chern forms; Schubert polynomials; arithmetic Schubert calculus; height Tamvakis H.: Arithmetic intersection theory on flag varieties. Math. Ann. 314, 641--665 (1999) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; 0-Hecke algebra; Grassmann manifolds A. Lascoux, Transition on Grothendieck polynomials, Physics and combinatorics, 2000 (Nagoya), World Sci. Publ., River Edge, NJ, 2001, pp. 164 -- 179. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomial; Schubert variety; Bruhat order; Pieri's formula DOI: 10.1090/S0002-9947-06-04043-8 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quantum Bruhat graph; Bruhat order; quantum cohomology; Schubert classes; path Schubert polynomials Postnikov, A., Quantum Bruhat graph and Schubert polynomials. Proc. Amer. Math. Soc., 133 (2005), 699--709. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials semistandard tableaux; vexillary permutations; Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Newton polyhedra; Grothendieck residues; Laurent polynomials Gel'fond, O. A.; Khovanskii, A. G.: Newtonian polytopes and Grothendieck residues. Dokl. math. 54, 700-702 (1996) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazdan-Lusztig polynomials; non-singular Schubert variety; local Poincaré duality; Bruhat ordering Deodhar, Vinay V., Local Poincaré duality and nonsingularity of Schubert varieties, Comm. Algebra, 13, 6, 1379-1388, (1985), MR 788771 (86i:14015) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Symmetric functions; Schur functions; Schubert polynomials; resultant Lascoux, A.: Wroñskian of symmetric functions | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Chern classes; vector bundles; filtration; vector space of homogeneous polynomials; Schubert polynomials; complex compact Kähler manifold; Schur polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; bi-Grassmannian permutations; semistandard tableaux A. Weigandt and A. Yong, The Prism tableau model for Schubert polynomials, J. Combin. Theory Ser. A 154 (2018), 551--582. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric functions; quasisymmetric functions; Hopf algebras; posets; Grothendieck polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; matroids; equivariant matroids; representation theory; symmetric functions; log concavity; linear species; Schubert calculus; representation stability K. Gedeon, N. Proudfoot, and B. Young. ''The equivariant Kazhdan--Lusztig polynomial of a matroid''. 2016. arXiv:1605.01777. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Gysin maps; push-forward maps; characteristic classes; equivariant cohomology; Schubert manifolds; flag manifolds; localization; Grothendieck residue; Lagrangian Grassmanianns | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Young tableaux; symmetric functions; Schur polynomials; Schubert polynomials; Bruhat order; Hecke algebras; Grassmannians; flag varieties; Schubert varieties; plactic ring; Kostka-Foulkes polynomials; symmetric group; general linear group; singularity; Pieri's formula; Jacobi-Trudi formulas; Giambelli's formula; Yang-Baxter equation; Thom-Porteous formula; degeneracy loci; partitions; Littlewood-Richardson rule; Monk's formula Manivel, Laurent, Symmetric functions, Schubert polynomials and degeneracy loci, SMF/AMS Texts and Monographs 6, viii+167 pp., (2001), American Mathematical Society, Providence, RI; Société Mathématique de France, Paris | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan Lusztig polynomials; Verma modules; semisimple algebraic group; Kac-Moody groups; Coxeter group; coset representatives; intersection cohomology modules; Schubert varieties V.V. Deodhar, \textit{On some geometric aspects of Bruhat orderings. II. The parabolic analogue of Kazhdan-Lusztig polynomials}, \textit{J. Algebra}\textbf{111} (1987) 483. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; \(R\)-polynomials; Schubert cells; Coxeter group; \(P\)-polynomials; symmetric group; singularity of a Schubert variety Shapiro, B.; Shapiro, M.; Vainshtein, A., Kazhdan-Lusztig polynomials for certain varieties of incomplete flags, \textit{Discrete Math.}, 180, 345-355, (1998) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; Schubert varieties; representations of semisimple Lie algebras; Weyl groups; symmetric groups; flag varieties; semisimple groups; torus actions \beginbarticle \bauthor\binitsS. C. \bsnmBilley and \bauthor\binitsT. \bsnmBraden, \batitleLower bounds for Kazhdan-Lusztig polynomials from patterns, \bjtitleTransform. Groups \bvolume8 (\byear2003), no. \bissue4, page 321-\blpage332. \endbarticle \OrigBibText Sara C. Billey and Tom Braden, Lower bounds for Kazhdan-Lusztig polynomials from patterns , Transform. Groups 8 (2003), no. 4, 321-332. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials surfaces in projetive 3-space; isolated singularities; rational double points Gallarati, D, Superficie algebriche con molti punti singolari isolati, Bull. Math. Soc. Sci. Math. Roumanie, 55, 249-274, (2012) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(F\)-blowups; \(F\)-pure surface; \(F\)-regular surface; rational double points; simple elliptic singularities \beginbarticle \bauthor\binitsN. \bsnmHara, \bauthor\binitsT. \bsnmSawada and \bauthor\binitsT. \bsnmYasuda, \batitle\(F\)-blowups of normal surface singularities, \bjtitleAlgebra Number Theory \bvolume7 (\byear2013), page 733-\blpage763. \endbarticle \OrigBibText N. Hara, T. Sawada and T. Yasuda, \(F\)-blowups of normal surface singularities, Algebra Number Theory 7 (2013), 733-763. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Giambelli's formulas; quantum equivariant Schubert calculus; factorial Schur functions L.C. Mihalcea, \textit{Giambelli formulae for the equivariant quantum cohomology of the Grassmannian}, \textit{Trans. AMS}\textbf{360} (2008) 2285 [math/0506335]. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(F\)-jumping numbers; Bernstein-Sato polynomials; test ideals | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials convex polynomials; sum of squares of polynomials; Cauchy-Schwarz inequality | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials root systems; connected reductive algebraic group; projective variety; Borel subgroups; line bundles; orbits; tangent bundle; Weyl group; maximal tori; \(\ell\)-adic cohomology groups; virtual representation; characters; irreducible representations; multiplicities; irreducible components; intersection cohomology; Schubert cells; Weyl groups; Hecke algebras; enveloping algebras; complex reductive Lie algebras; unipotent representations G. Lusztig. Characters of reductive groups over a finite field, Ann. Math. Studies 107, Princeton University Press, 1984. ''BN13N22'' -- 2018/1/30 -- 14:57 -- page 225 -- #27 2018] QUANTIZATIONS OF REGULAR FUNCTIONS ON NILPOTENT ORBITS 225 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials groups; rings; polynomials; fields; field extensions; Galois theory; Sylow theorems | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic surfaces; homogeneous polynomials; Gauss curvature; Gauss map | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weierstrass point; Weierstrass semigroup; smooth plane curve; double covering of a curve Komeda, J.; Kim, S.J., The Weierstrass semigroups on the quotient curve of a plane curve of degree \(###\)7 by an involution, J. Algebra, 322, 137-152, (2009) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Algebraic curves; polars; tangents and double tangents | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials decidability; Hilbert's Tenth Problem; uncomputably large integral points on algebraic curves; diophantine prefix; polynomials; height bounds; geometry of complex surfaces and 3-folds J.M. Rojas, Uncomputably large integral points on algebraic plane curves?, Theoret. Comput. Sci., 235 (this Vol.) (2000) 145--162. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials rational polynomials; parametrize a cubic surface Sederberg, T W; Snively, J, Parametrization of cubic algebraic surfaces, 299-2, (1987), New York | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials prime characteristic; invariant theory; polynomials invariant under the group action; factorization of rings of invariants; Shephard-Todd theorem D.J. Benson, \textit{Polynomial Invariants of Finite Groups, London Mathematical Society Lecture Notes Series}, vol. 190 (Cambridge University Press, Cambridge, 1993) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric functions; \(k\)-Schur functions; affine Schubert calculus; dual graded graphs | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; spherical varieties; proper permutations | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Chern-Schwartz-MacPherson class; homogeneous space; Schubert variety; Demazure-Lusztig operator 10.1112/S0010437X16007685 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Sperner property; weak order; Schubert polynomial; Macdonald identity | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck point residue mappings; local cohomology | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials toric varieties; double cover; Gaussian map Duflot, J., Peters, P.: Gaussian maps for double covers of toric surfaces. Rocky Mt. J. Math. 42(5), 1471--1520 (2012) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck group; quotient singularity J. Herzog, E. Marcos and R. Waldi, On the Grothendieck group of a quotient singularity defined by a finite abelian group,J. Algebra 149 (1992), 122--138 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials global monodromy fibration; family of polynomials; Lê-Ramanujam [25]T. S. Pha.m, Invariance of the global monodromies in families of nondegenerate polynomials in two variables, Kodai Math. J. 33 (2010), 294--309. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials enumerative geometry; toric surfaces; Gromov-Witten theory; Severi degrees; node polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; complete quadrics Finat, J. A., A combinatorial presentation of the variety of complete quadrics. Preprint 1985. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; singularities | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag manifold; cohomology theory of Schubert varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials finite fields; forms in many variables; hypersurface; nonsingular zero; polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials intersection cohomology; small resolution for any Schubert cell Zelevinskiĭ, A. V.: Small resolutions of singularities of Schubert varieties. Funct. anal. Appl. 17, No. 2, 142-144 (1983) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Semaev polynomials; elliptic curves; point decomposition problem; discrete logarithm problem Karabina, K., Point decomposition problem in binary elliptic curves, (International Conference on Information Security and Cryptology, (2015), Springer International Publishing) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials finite groups; finite simple groups; applications of simple groups; Brauer groups; Riemann surfaces; polynomials; function fields Guralnick, Robert, Applications of the classification of finite simple groups.Proceedings of the International Congress of Mathematicians---Seoul 2014. Vol. II, 163-177, (2014), Kyung Moon Sa, Seoul | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials dual family of submanifolds; integral geometry; admissible double fibration; covering map A. B. Goncharov, Admissible families of \(k\)-dimensional submanifolds , Dokl. Akad. SSSR 300 (1988), no. 3, 535-539. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elliptic curves; scalar multiplication; point arithmetic; double-base number system | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck ring; motivic zeta function Larsen, M.; Lunts, V. A., \textit{motivic measures and stable birational geometry}, Mosc. Math. J., 3, 85-95, (2003) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials moment polytope; Grassmannian; flag manifold; Schubert variety; Bott-Samelson variety; Richardson variety; Brick variety; Barbasch-Evens-Magyar variety; permutahedron; associahedron | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials set containment; SOS-convex polynomials; sums of squares polynomials; convex semialgebraic sets Jeyakumar, V; Lee, GM; Lee, JH, Sums of squares characterizations of containment of convex semialgebraic sets, Pac. J. Optim., 12, 29-42, (2016) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(k\)-equivalence of algebraic varieties; Chow motives; Grothendieck ring of varieties; piecewise isomorphism of varieties; Calabi-Yau manifold Ivorra, F; Sebag, J, Géométrie algébrique par morceaux, \(K\)-équivalence et motifs, Enseign. Math. (2), 58, 375-403, (2012) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weierstrass semigroups of pointed curves; double coverings of curves; curves on \(K3\) surfaces Watanabe, K, An example of the Weierstrass semigroup of a pointed curve on K3 surfaces, Semigroup Forum, 86, 395-403, (2013) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials geometry of flags; small Schubert cell; Kac-Moody algebra; Kac-Moody group | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck topologies; étale topologies; sites; algebraic spaces; log structures; fibred categories Olsson, M. C., Logarithmic geometry and algebraic stacks, Ann. Sci. Éc. Norm. Supér. (4), 36, 5, 747-791, (2003) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials number of double points; hypersurfaces | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real polynomials; Newton polytopes I. Itenberg and M. F. Roy, \textit{Multivariate Descartes' rule}, Beiträge zur Algebra und Geometrie \textbf{37} (1996), 337-346. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials noncommutative regular rings; cyclic quotient singularities; rational double points; rings of invariants; local dualities; dualizing complexes; Gorenstein singularities; Cohen-Macaulay singularities Chan, D.: Noncommutative rational double points. J. algebra 232, 725-766 (2000) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials automorphisms of the ring of polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials canonical bases; totally positive matrix; Kazhdan-Lusztig polynomials P. Littelmann, ''Bases canoniques et applications,''Séminaire Bourbaki Vol. 1997/98. Astérisque No. 252 (1998), Exp. No. 847, 5, 287--306. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Shimura varieties; local models; Rapoport-Zink spaces; Schubert varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Pierce-Birkhoff conjecture; piecewise polynomials; isolated points Mahé, Louis, On the Pierce-Birkhoff conjecture, Rocky Mountain J. Math., 14, 4, 983-985, (1984) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric varieties; spherical modules; Grassmannians; standard monomial theory; wonderful compactification; Schubert variety; Richardson variety Rocco Chirivì, Peter Littelmann, and Andrea Maffei, Equations defining symmetric varieties and affine Grassmannians, Int. Math. Res. Not. IMRN 2 (2009), 291 -- 347. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Mumford-Tate domain; variation of Hodge structure; boundary component; Schubert variety M. Kerr and C. Robles, Hodge theory and real orbits in flag varieties , preprint, [math.AG]. arXiv:1407.4507v1 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; Bruhat orderings on Coxeter groups; Kac- Moody algebras | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials enhanced Milnor number; fibered link, open book decomposition; mixed polar weighted homogeneous polynomials; radial Newton polygon; Newton boundary Inaba, K., On the enhancement to the Milnor number of a class of mixed polynomials, J. Math. Soc. Jpn., 66, 25-36, (2014) | 0 |
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