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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials linear system; double cover; gonality Keem, Changho, Double coverings of smooth algebraic curves, (Algebraic Geometry in East Asia, Kyoto, 2001, (2002), World Sci. Publ. River Edge, NJ), 75-111
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomial; orthogonal flag variety; arithmetic Chow ring; arithmetic Chern number Harry Tamvakis, Schubert polynomials and Arakelov theory of orthogonal flag varieties, Math. Z. 268 (2011), no. 1-2, 355 -- 370.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials systems of polynomial equations; polynomials over finite fields; Tsfasman-Boguslavsky conjecture Datta, M.; Ghorpade, S. R., Number of solutions of systems of homogeneous polynomial equations over finite fields, Proc. Amer. Math. Soc., 145, 2, 525-541, (2017)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials semi-Pfaffian set; sparse polynomials; exponential polynomials Gabrièlov, A.; Vorobjov, N., Complexity of stratifications of semi-Pfaffian sets, Discrete Comput. Geom., 14, 71-91, (1995)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials associahedron; braided tensor category; coherence; symmetric monoidal categories; Knizhnik-Zamolodchikov equations; Grothendieck-Knudsen moduli space M.M. Kapranov, \textit{The permutoassociahedron, Mac Lane}'\textit{s coherence theorem and asymptotic zones for the KZ equation}, \textit{J. Pure Appl. Alg.}\textbf{85} (1993) 119.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials automorphism of curves; families of curves; Artin-Schreier covers; special groups; additive polynomials Rocher, M., Large \(p\)-group actions with a \(p\)-elementary abelian derived group, J. Algebra, 321, 2, 704-740, (2009)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials expected value of the gradient degree; Gaussian random polynomials in two variables T. Aliashvili, ''Topological invariants of random polynomials,'' In: Banach Center Publ., 62, 19--28 (2004).
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck topology; canonical cover; fpqc cover; direct summand theorem; big Cohen-Macaulay algebras; splinters
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Donaldson polynomials; spin polynomials
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(p\)-divisible groups; Newton polygons; Grothendieck conjecture F. Oort: Newton polygon strata in the moduli space of abelian varieties, Moduli of abelian varieties (Texel Island, 1999), 417--440, Progr. Math. 195, Birkhäuser, Basel, 2001.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert Eisenstein series; Schubert cell; meromorphic continuation; Weyl group
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials stochastic quantization; holographic Wilsonian renormalization group; fermion; double trace deformation
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials ideals of polynomials; exterior differential forms
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials fibration; double covers; slope Cornalba, M.; Stoppino, L., A sharp bound for the slope of double cover fibrations, Michigan math. J., 56, 3, 551-561, (2008)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials The periods of double integrals.
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomial; Bruhat order; Littlewood-Richardson coefficient Lenart, C., Sottile, F.: Skew Schubert polynomials. Proceedings of the American Mathematical Society 131(11), 3319--3328 (2003)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Brauer group; maximal orders; Azumaya orders; Brauer class; Kollár's condition; compactification; virtual fundamental class; bijective closed substack; parabolic Azumaya algebras; ramification divisor; matrix algebras; Brumer log terminal structure; blt; hulls and husks; reflexive Azumaya algebras; rational double points; compactification; parabolic generalized Azumaya algebras; hereditary site; \(n\)-typed Azumaya algebra; \(1\)-isomorphism; Brumer log terminal Azumaya algebra
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double structures; set theoretical complete intersection; Maruyama scheme; triple structures; holomorphic structures on topological complex vector bundles C. BANICA , Structures Doubles et Triples sur un Sous-Espace Complexe (Applications, Banach Center Publications, Vol. 20, 1988 , pp. 15-30). MR 92j:14021 | Zbl 0727.14002
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weierstrass semigroups; numerical semigroups; covering curve of genus 6; double coverings , Numerical semigroups of genus six and double coverings of curves of genus three, Semigroup Forum 91 (2015), no. 3, 601--610.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Enriques surface; double covering; K 3 surface Verra, Alessandro: The étale double covering of an Enriques surface, Rend. semin. Mat. univ. Politec. Torino 41, No. 3, 131-167 (1983)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials complex projective space; complex conjugation on complex projective 2- space; zeros of quadratic forms; hyperbolic polynomials Arnol'd, V. I.: Ramified covering CP2 \(\to S4\), hyperbolicity and projective topology. Siberian math. J. 29, No. 5, 36-47 (1988)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double spaces of index two; intermediate Jacobian; theta divisor
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elliptic curves; division polynomials; elliptic divisibility sequences
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bernstein polynomials; toric varieties; Delzant polytope; Dedekind-Riemann sums; asymptotic expansions; Bergman-Szegö kernels S. Zelditch. Bernstein polynomials, Bergman kernels, and toric Kähler varieties, J. Symplectic Geom. (to appear); arXiv: 0705.2879.
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials cubic surface; finite field; classification; double-six
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quadric surface; Hartshorne-Rao module; space curve; double plane; linkage Di Gennaro R., Nagel U.: The equations of space curves on a quadric. Collect. Math. 58(1), 119--130 (2007)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials derivators; fibered derivators; multiderivators; fibered multicategories; Grothendieck's six-functor-formalism; cohomological descent; homological descent; fundamental localizers; well-generated triangulated categories; equivariant derived categories Hörmann, F, Fibered multiderivators and (co)homological descent, Theory Appl. Categ., 32, 1258-1362, (2017)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algorithms in real algebraic geometry; complexity; real counting problem; number of real roots; real roots of a polynomial; multivariate polynomials; Hilbert's Nullstellensatz Roy, M. -F.: Basic algorithms in real algebraic geometry and their complexity: from Sturm's theorem to the existential theory of reals, De gruyter expositions in mathematics 23, 1-67 (1996)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Brauer-Grothendieck group; Manin obstruction; counterexample to the Hasse principle A. N. Skorobogatov, ''Beyond the Manin obstruction,'' Invent. Math. 135(2), 399--424 (1999).
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials geometric programming; lower bound; nonnegative polynomial; semidefinite programming; simplex; sparsity; sum of nonnegative circuit polynomials; sum of squares S. Iliman and T. De Wolff, \textit{Lower bounds for polynomials with simplex Newton polytopes based on geometric programming}, SIAM J. Optim., 26 (2016), pp. 1128--1146.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials intersection theory; numerical algebraic geometry; Schubert variety; witness set
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weierstrass semigroup of a point; double covering of a hyperelliptic curve; 4-semigroup Komeda, J., Ohbuchi, A.: Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve II. Serdica Math. J. \textbf{34}, 771-782 (2008)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials heights; Schubert varieties J.L. Thunder, Points of bounded height on Schubert varieties , Inter. J. Number Theory,
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck group; image direct of D-module B. Malgrange, Sur les images directes de \(\scr D\)-modules , Manuscripta Math. 50 (1985), 49-71.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials profinite groups; Grothendieck-Teichmüller group; Hecke algebras; projective representations; braid groups; Hopf algebras; arithmetic algebraic; \(K\)-theory; Young tableaux I. Marin, Caractères de rigidité du groupe de Grothendieck-Teichmüller, Compos. Math. 142 (2006), 657-678.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials varieties of Chevalley groups; maximal parabolic subgroups; small Schubert cells; Kac-Moody algebras; superalgebras [25] Ustimenko V.\ A., ''On the Varieties of Parabolic Subgroups, their Generalizations and Combinatorial Applications'', Acta Applicandae Mathematicae, 52 (1998), 223--238
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials reductive group schemes; principal bundles; Grothendieck-Serre conjecture [80] Panin I., Stavrova A., Vavilov N., On Grothendieck--Serre's conjecture concerning principal \(G\)-bundles over reductive group schemes. I, 2009, 28 pp., arXiv:
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials geography of Fano manifolds; geography of Calabi-Yau manifolds; roots of Hilbert polynomials; Verlinde formula; moduli spaces of vector bundles on algebraic curves; toric varieties
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials condition number; random polynomials; grid method; smoothed analysis; structured polynomials
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials topological study of Schubert varieties; Schubert geometry; Grassmannian; Schubert symbol; stratification Buoncristiano, S.; Veit, A. B.: The intrinsic stratification of a Schubert variety. Adv. math. 91, No. 1, 1-26 (1992)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials generalized double affine Hecke algebras of rank 1; quantized del Pezzo surfaces Etingof, P.; Oblomkov, A.; Rains, E., \textit{generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces}, Adv. Math., 212, 749-796, (2007)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials differential algebra; decomposition of differential polynomials; apolars; invariant theory; theta functions; statistical partition function Morikawa, H, On differential polynomials II, Nagoya Math. J, 148, 73-112, (1997)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Laurent polynomials; Cayley-Koszul complex; determinant; discriminant of a polynomial in two indeterminates; elliptic curve Gel'fand, I.; Zelevinskiǐand, A.; Kapranov, M., Discriminants of polynomials in several variables and triangulations of Newton polyhedra, Algebra i Analiz, 2, 1, (1990)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Frobenius map; Schubert variety; quantum group; geometric Frobenius splitting Kumar, S., Littelmann, P.: Frobenius splitting in characteristic zero and the quantum Frobenius map. J. Pure Appl. Algebra 152, 201--216 (2000)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials monster model; Grothendieck universe; simple theory; bounded orbit; saturation and omission
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials finite field; maximal curves; hyperelliptic curves; Chebyshev polynomials; Dickson polynomials
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double solid; intermediate Jacobian; Torelli theorem
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials non-negative univariate polynomials; Nichtnegativstellensätze; sum of squares decomposition; root isolation; real algebraic geometry
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomial; key polynomial; flagged Weyl module; upper bound; Lorentzian polynomial
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials nonnegative polynomial; sum of nonnegative circuit polynomials; SONC; certificate of nonnegativity; sum of squares
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bell polynomials; Hirota bilinear method; Sawada-Kotera-type equation; Lax-type equation Wang, Y. H; Chen, Y., Bell polynomials approach for two higher-order KdV-type equations in fluids, Nonlinear Anal. Real World Applications, 31, 533-551, (2016)
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials de Rham cohomology; \(p\)-adic étale cohomology; Fontaine's rings; cotangent complex; log scheme; alteration; semi-stable morphism; Grothendieck topology
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kakeya problem; image set on \(F_q\)-points; Lang-Weil bound; reducibility of polynomials in several variables; number of irreducible components of a variety; indecomposable polynomials; affine polynomials; permutation polynomials K. Slavov, An algebraic geometry version of the Kakeya problem, in preparation.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Göttsche conjecture; nodal curves; plane curves; Bell polynomials; generating function N. Qviller, The Di Francesco-Itzykson-Göttsche conjectures for node polynomials of \mathbb{P}^{2}, Internat. J. Math. 23 (2012), No. 1250049.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials moduli space of stable curves; integrable systems; cohomological field theories; double ramification cycle; double ramification hierarchy Rossi, P., Integrability, quantization and moduli spaces of curves, SIGMA, 13, (2017)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; Young diagrams; Hecke algebras; Kazdan-Lusztig bases Kirillov, A., Jr., Lascoux, A.: Factorization of Kazhdan-Lusztig elements for Grassmanians. In: Koike, K. et al. (eds.) Combinatorial Methods in Representation Theory, pp. 143--154. Kinokuniya, Tokyo (2000)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials diagrams; Hall polynomials; symplectic groups; totally isotropic subspaces; symplectic geometry; hyperbolic pairs; closed formula; general linear groups
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; Grassmannian; affine flag varieties
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials ind-variety; ind-group; generalized flag; Schubert decomposition; real form
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials polynomial rings; Vénéreau polynomials; coordinates; Dolgachev-Weisfeiler conjecture Lewis, D., Vénéreau-type polynomials as potential counterexamples, J. Pure Appl. Algebra, 217, 5, 946-957, (2013)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials supermanifold; grand unification; arithmetic geometry; A-geometry; even geometry; odd geometry; Riemann-Roch theorems; Schubert supercells; supergravity DOI: 10.1070/RM1984v039n06ABEH003181
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double covering; singularity; Calabi-Yau manifold; Hodge numbers S. Cynk \({ref.surNamesEn}, Hodge numbers of double octic with non-isolated singularities,, \)Ann. Pol. Math.\(, 73, 221, (2000)\)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmannians; semisimple algebraic groups; flag varieties; Schubert varieties; minuscule weights Musili, C.: The development of standard monomial theory. I. In: A tribute to C. S. Seshadri, Chennai, 2002. Trends Math., pp. 385--420. Birkhäuser, Basel (2003)
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double ramification cycle; deformation theory; Abel-Jacobi; differentials
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Iwasawa theory; cyclotomic \({bbfZ}_ p\)-fields; sheaves for algebraic number fields; duality pairing; Greenberg conjecture; Picard group; ideal class group; Pics; Grothendieck topology
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials hyperfields; factorization into irreducible elements; division algorithm for polynomials
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Reidemeister torsion; flag manifolds; Weyl groups; Schubert calculus; Groebner-Shirshov bases; graded inverse lexicographic order
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials resolution of singularities; polynomials Abhyankar, S.S.: Polynomial Expansion. Proceedings of the American Mathematical Society, vol. 126, pp. 1583--1596 (1998)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials rotation-minimizing frames; Pythagorean-hodograph curves; angular velocity; Hopf map; complex polynomials; quaternions Farouki, R.T.: Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves. Adv. Comput. Math. 33, 331--348 (2010)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic vector bundles over algebraic varieties; Grothendieck group J. Bochnak, M. Buchner, and W. Kucharz, Vector bundles over real algebraic varieties, \?-Theory 3 (1989), no. 3, 271 -- 298.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials derived categories; Bridgeland stability conditions; Fano threefolds; moduli spaces; Veronese double cone
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials degeneracy locus; Chern classes; Thom-Porteous polynomials; Chern numbers Pragacz, Piotr, Enumerative geometry of degeneracy loci, Ann. Sci. École Norm. Sup. (4), 21, 3, 413-454, (1988)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bruhat decomposition; equivariant compactification; regular embedding; spherical homogeneous space; Schubert cycles M. Brion. ''The behaviour at infinity of the Bruhat decomposition''. Comment. Math. Helv. 73(1998), pp. 137--174.DOI.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double solid; nodal singularity; threefold; \(\mathbb Q\)-factoriality Hong, Kyusik; Park, Jihun, On factorial double solids with simple double points, J. Pure Appl. Algebra, 208, 1, 361-369, (2007)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials stable manifold of Riccati flow; singularities of Schubert varieties Wolper, J.S.: The Riccati flow and singularities of Schubert varieties. Proceedings of the AMS 123 (1995) 703--709
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Quot scheme; zeta function
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials multivariate polynomials; algebraic power series; implicitization; closed form of coefficients
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert calculus; Lagrangian Grassmannian; Wronski map; Young tableaux
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Calabi-Yau; double coverings; modular forms Cynk, S.; Meyer, C., Modularity of some non-rigid double octic Calabi-Yau threefolds, Rocky Mt. J. Math., 38, 1937-1958, (2008)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weyl group; Bruhat order; Schubert variety; intersection cohomology; Kazhdan-Lusztig polynomial
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials moonshine; modular curves; supersingular elliptic curves; supersingular polynomials
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials HLRV conjecture; refined stable pair invariants; refined Gopakumar-Vafa invariants; refined BPS expansion; parabolic P=W conjecture; MacDonald polynomials; geometric engineering; parabolic Higgs bundles; local orbifold curves Chuang, W-y; Diaconescu, D-E; Donagi, R.; Pantev, T., Parabolic refined invariants and Macdonald polynomials, Commun. Math. Phys., 335, 1323, (2015)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials lambda ring; Grothendieck ring: motivic zeta function
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials rigid-analytic period functions; Goss polynomials; distribution of zeros of \(p\)-adic functions
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials cardioid; cubic polynomials
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Brauer factor sets; Galois groups; separable splitting fields; central simple algebras; degree; index; minimal polynomials DOI: 10.1006/jabr.1997.7148
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials equations of motion; integrable systems; hyperelliptic Riemann surfaces; Jacobi inversion problem; reduction; \(\theta\)-function; Kleinian \(\sigma\)-functions; planar double pendulum Enolski, V. Z.; Pronine, M.; Richter, P. H., Double pendulum and \textit{ {\(\theta\)}}-divisor, J Nonlinear Sci, 13, 2, 157-174, (2003)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur polynomials; tropical ideals; multigraded Hilbert schemes
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic geometry codes; Grassmann codes; Lagrangian-Grassmannian codes; Schubert codes; parity check codes; LDPC codes
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric functions; Springer representations; Kostka polynomials
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraicity; foliation; Hermitian vector bundle; \(p\)-curvature; slope; Grothendieck conjecture; Arakelov geometry; Liouville property Chambert-Loir, A., Théorèmes d'algébricite en géométrie diophantienne (d'après J.-B. bost, Y. André, D. and G. chudnovsky), Asterisque, 282, 175-209, (2002)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Stembridge equality; Grothendieck polynomial; Young tableau; Hopf algebra
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials subspaces of a quadric; Schubert calculus; intersection theory; intersection of Schubert cells Sertöz, S.: A triple intersection theorem for the varieties \(SO(n)/pd\), Fund. math. 142, No. 3, 201-220 (1993)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials local Picard group; Grothendieck-Lefschetz hyperplane theorem; normalization Kollár, János, Maps between local Picard groups, (2014)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials tangential variety; secant variety; additive decompositions of homogeneous polynomials; defectivity; Segre-Veronese variety
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials conjugacy classes; parabolic bundles; quantum cohomology; generalized flag variety; Grassmannians; Schubert calculus C. Teleman and C. Woodward, ''Parabolic bundles, products of conjugacy classes and Gromov-Witten invariants,'' Ann. Inst. Fourier \((\)Grenoble\()\), vol. 53, iss. 3, pp. 713-748, 2003.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials exponential Chern character; Grothendieck-Riemann-Roch theorem; Grothendieck group; minimal manifold of general type; divisor with simple normal crossings Yamamoto, S.: The behaviour of Chern characters of projective manifolds under certain holomorphic maps. Comment. math. Univ. st. Paul 44, 175-199 (1995)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert stratifications; signed Bruhat cells; Bruhat stratifications; locally convex curves; Coxeter group; symmetry group
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials binomial ideals; sparse polynomials; computational algebraic geometry
0
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert classes; Grassmannians; hermitian matrices; eigenvalues; transversality Geometric proofs of Horn and saturation conjectures. \textit{Journal of Alge-} \textit{braic Geometry }15(2006), 133--173.arXiv:math/0208107.Zbl 1090.14014 MR 2177198
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