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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Zariski pair; Mordell-Weil group; K3 surfaces; complement of plane curves; Milnor index; Alexander polynomials E Artal Bartolo, H Tokunaga, Zariski pairs of index 19 and Mordell-Weil groups of \(K3\) surfaces, Proc. London Math. Soc. \((3)\) 80 (2000) 127
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials components of a real algebraic variety; homology classes; Galois- Grothendieck cohomology; algebraic variety V. A. Krasnov, ''On homology classes defined by real points of a real algebraic variety,''Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.],55, No. 2, 282--302 (1991).
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elementary matrices; Coxeter relations; Schubert cells; reduced decompositions; labelings of diagrams; planar configurations; factorization of matrices; commutation classes C. Kassel, A. Lascoux, and C. Reutenauer, ''Factorizations in Schubert cells,'' Adv. Math. 150 (2000), no. 1, 1--35.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag variety; symmetric pair; cohomology class representative; Kazhdan-Luztig-Vogan polynomials Wyser, BJ; Yong, A, Polynomials for \(\text{GL}_p\times \text{ GL }_q\) orbit closures in the flag variety, Sel. Math., 20, 1083-1110, (2014)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials index of isolated point; flow; real 2-dimensional semi-algebraic sets; polynomials; Euler characteristic
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials scattering amplitudes; Lie polynomials; twistor theory
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials tropical varieties; Chow groups; intersection theory; piecewise polynomials G. François, Cocycles on tropical varieties via piecewise polynomials. Proc. Am. Math. Soc. 141, 481-497 (2013)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert cells; Grassmannian; generalized hypergeometric functions; strata; compact homogeneous spaces; complex semisimple Lie groups
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Weierstrass' gamma function; double area; sector
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials little discs operads; Hochschild cohomology; algebras of observables; quantum mechanics; deformation quantization; gauge transformations; gauge equivalence class; star products; Poisson manifold; graded Lie superalgebra; Feynman diagrams; Grothendieck-Teichmüller group; operads; algebras over operads; formality theorem; motivic Galois group; higher-dimensional algebras; motives; quantum field theories Maxim Kontsevich, ``Operads and motives in deformation quantization'', Lett. Math. Phys.48 (1999) no. 1, p. 35-72
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials nets of conics; Thom polynomials M. Domokos, L. M. Fehér, and R. Rimányi, Equivariant and invariant theory of nets of conics with an application to Thom polynomials, 2011.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials decomposition of birational morphism; smooth curves on surfaces with rational double points; blow-up of a smooth point; Gorenstein threefold singularities D. Morrison: ''The birational geometry of surfaces with rational double points'', Math. Ann., Vol. 271, (1985), pp. 415--438.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials non-rational but unirational variety; Grothendieck invariants; rationality; Brauer invariants Colliot-Thélène, Jean-Louis; Ojanguren, Manuel, Variétés unirationnelles non rationnelles: au-delà de l'exemple d'Artin et Mumford, Invent. Math., 0020-9910, 97, 1, 141-158, (1989)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double-point divisor; Roth variety; Castelnuovo variety; secant variety; conductor; projection; linear system Ilic B.: Geometric properties of the double-point divisor. Trans. Am. Math. Soc. 350, 1643--1661 (1998)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic plane curve; genus; unicuspidal curve; bivariate polynomials; discriminant; Newton polygon; Abhyankar-Moh's embedding line theorem
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double section; dominating map; Riemann surface; uniformization map; Jacobian fibration Buzzard, G; Lu, S, Double sections, dominating maps, and the Jacobian fibration, Am. J. Math., 122, 1061-1084, (2000)
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials threefold; Hodge groups; double covering Cynk, S.: Cohomologies of a double covering of a non-singular algebraic 3-fold, Math. Z. 240, 731-743 (2002)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials real quadratic factors of polynomials; multiple quadratic factors
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic surface of general type; Severi inequality; Severi line; double covers; irregular varieties; maximal Albanese dimension
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials lattice; maximal mediated set; nonnegativity; sum of nonnegative circuit polynomials; sums of squares
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Residues of double integrals.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials weighted noncommutative regular projective curve; tilting sheaf; resolving class; Prüfer sheaf; noncommutative curve of genus zero; domestic curve; tubular curve; noncommutative elliptic curve; slope of quasicoherent sheaf; Grothendieck category; tube; large sheaf; recollement of triangulated category Angeleri Hügel, L., Kussin, D.: Large tilting sheaves over weighted noncommutative regular projective curves (2016). Preprint arXiv:1508.03833
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials absolute Galois groups; Grothendieck's anabelian conjecture; function field; birational geometry
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials oval; complete Abelian integral; weakened Hilbert 16th problem; double exponential estimate
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert variety; flag manifold; Plücker coordinate; Bruhat cell; vanishing pattern S. Fomin and A. Zelevinsky, ''Recognizing Schubert cells,'' preprint math. CO/9807079, July 1998.
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Lorentzian polynomials; stable polynomials; log-concavity; matroids; M-convexity; tropicalization
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials cubic polynomials; special curve; irreducible curve; critical points; post - critically finite polynomials.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Betti numbers; zeros of polynomials; number of connected components Wallach, NR, On a theorem of Milnor and thom, No. 20, 331-348, (1996), Boston
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmannian; linear set; Desarguesian spread; Schubert variety
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic varieties; singularities; multivariate polynomials Escudero, JG, Threefolds from solutions of a partial differential equation, Exp. Math., 26, 189-196, (2017)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials twisted Higgs bundles; twisted wild character varieties; large N duality; spectral surface; non-Abelian Hodge correspondence; perverse Poincare polynomials; weighted Poincare polynomials; P=W conjecture; refined Gopakumar-Vafa expansion; torus knots; refined Chern-Simons invariants; Shende-Okounkov-Rasmussen conjecture; E-polynomials
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Galois-Grothendieck theory; quantum mechanics; Heisenberg indeterminacy principle; symmetries-invariants Page, J., & Catren, G. (2014). Towards a Galoisian interpretation of Heisenberg indeterminacy principle. \textit{Foundations of Physics}. 10.1007/s10701-014-9812-2.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials supersingular curves; irreducible polynomials; prescribed coefficients; binary fields; characteristic polynomial of Frobenius Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan, Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients, Finite Fields Appl., 42, 128-164, (2016)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials compatible preorders; Picard group of a commutative ring; lattice; Grothendieck group of a semigroup
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double planes; rational surfaces; Cremona transformations A. Calabri, On rational and ruled double planes, Ann. Mat. Pura Appl. 181 (2002), 365--387.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elimination; greatest common divisor of polynomials; Hermite's method; real algebraic geometry; computer aided geometric design Gonzalez-Vega, L.; Gonzalez-Campos, N.: Simultaneous elimination by using several tools from real algebraic geometry. J. symb. Comput. 28, 89-103 (1999)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Belkale-Kumar Schubert calculus; Kostant's harmonic forms
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials finite fields; number theory; algebraic number theory; computer science; coding theory; cryptography; algebraic geometry; discrete mathematics; polynomial factorization; counting points on curves; irreducible polynomials; primitive polynomials; bases; discrete logarithm; polynomial multiplication; algebraic curves; exponential sums; elliptic curves; recurrence sequences; cyclic codes; pseudo-random numbers; permutation polynomials; congruences; integer factorization; primality testing; computational algebraic number theory; algebraic complexity theory; polynomials with integer coefficients I. E. Shparlinski, \textit{Finite Fields: Theory and Computation}, Kluwer Academic Publ., Dordrecht, 1999 (to appear).
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials classification of surfaces of general type; construction of surfaces of general type; double covering; branch locus
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials computational invariant theory; harmonic polynomials; orthogonal group; slice; rational invariants; diffusion MRI; neuroimaging
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert cycle; isotropic Grassmannians Pragacz, P., Ratajski, J.: A Pieri-type theorem for Lagrangian and odd orthogonal Grassmannians. J. Reine Angew. Math. 476, 143--189 (1996)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quantum Schubert Calculus; isotropic Grassmannians; Giambelli's Formulas Buch, AS; Kresch, A; Tamvakis, H, Quantum Giambelli formulas for isotropic Grassmannians, Math. Ann., 354, 801-812, (2012)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials singular locus of a Schubert variety Gasharov, Vesselin, Sufficiency of Lakshmibai-Sandhya singularity conditions for Schubert varieties, Compos. Math., 126, 1, 47-56, (2001), MR 1827861
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials finite fields; polynomials; curves with many points Lenstra, H. W., On a problem of garcia, stichtenoth, and Thomas, Finite Fields Appl., 8, 166-170, (2002)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck standard conjecture; Hodge theory; \(L_ 2\)-cohomology of Kuga fiber varieties; invariant cycles conjecture S. Abdulali, Algebraic cycles in families of abelian varieties,Can. J. Math.,46 (6) (1994), 1121--1134.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials blow-up; birational morphism; Grothendieck flattening; geometrically flat modules Villamayor U., O. E., On flattening of coherent sheaves and of projective morphisms, J. Algebra, 295, 1, 119-140, (2006), MR 2188879
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials good polynomials; Milnor fibrations at infinity András Némethi, On the Seifert form at infinity associated with polynomial maps, J. Math. Soc. Japan 51 (1999), no. 1, 63 -- 70.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials deformed inversion pairs; the heat equation; harmonic polynomials Zhao W., Hessian nilpotent polynomials and the Jacobian conjecture, Trans. Amer. Math. Soc., 2007, 359(1), 249--274
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials octic \(K3\) surface; rational double points; Dynkin graphs
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Donaldson's polynomials of algebraic surfaces Tyurin, A.: A slight generalization of the Mehta-Ramanathan theorem. InAlgebraic Geometry, Proceedings Chicago 1989SLNM1479258--272 (1991)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials space curve; postulation; liaison; hyperplane section; genus; double linkages Rosario Strano, On the genus of a maximal rank curve in \?³, J. Algebraic Geom. 3 (1994), no. 3, 435 -- 447.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials simple Jordan algebra; formally real; reduced trace; invariant polynomials; automorphism group
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials residues; reciprocity laws; arithmetic surfaces; Grothendieck duality Morrow, M., An explicit approach to residues on and dualizing sheaves of arithmetic surfaces, New York J. Math., 16, 575-627, (2010)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials noncommutative projective geometry; Grothendieck categories; \(\chi\)-condition; quotient categories
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; Coxeter groups; intersection complexes; Weyl groups Morel, S.: Note sur LES polynômes de Kazhdan-Lusztig. Math. Z. 268, 593-600 (2011)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials covers of arithmetic surfaces; théorème de spécialisation of A. Grothendieck; algebraic cover; geometric monodromy group M. Emsalem, On reduction of covers of arithmetic surfaces, 1997
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials polynomials; multivariate; cryptology; public-key Ding, J., Gower, J.E., Schmidt, D.S.: Multivariate public key cryptosystems, advances in information security, 25. Springer, Berlin, Heidelberg (2006)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck topology; topos; étale cohomology; fundamental group; Dedekind zeta function; Euler characteristic Morin, B.: The Weil-étale fundamental group of a number field I. Kyushu J. Math. 65 (2011, to appear)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck-Katz \(p\)-curvature conjecture
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Higgs bundles; parabolic structures; mirror symmetry; E-polynomials
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials anabelian geometry; Belyi cuspidalization; Grothendieck-Teichmüller group
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials polynomial automorphisms; Jacobian conjecture; factorial conjecture; rigidity conjecture; irreducible polynomials
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials reductive spherical pairs; multiplicity-free actions; coordinate rings of spherical varieties; Jack polynomials
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials extensions of fields; algebraic numbers; polynomial mappings; survey; polynomials; cycles; length of cycles
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials heights; tori; lacunary polynomials Bombieri, E., Masser, D., Zannier, U.: Anomalous subvarieties--structure theorems and applications. Int. Math. Res. Not. \textbf{2007}: Article ID rnm057 (2007)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials minimal surface of general type; coarse moduli space; bidouble covers; deformations; 1/2 rational double points Catanese F.: Automorphisms of rational double points and moduli spaces of surfaces of general type. Compos. Math. 61(1), 81--102 (1987)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag varieties; Schubert varieties; quantum cohomology ring; complete flags; Gromov-Witten invariants S. Fomin, S. Gelfand, and A. Postnikov, Quantum Schubert polynomials , J. Amer. Math. Soc., 168 (1997), 565--596. JSTOR:
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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmanians; Schubert varieties; flag manifolds; intersection cohomology groups; symmetrizable Kac-Moody Lie algebras Kashiwara, M., \& Tanisaki, T. (2002). Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. J. Algebra, 249, 306--325.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Hochschild homology; bivariant theory; Grothendieck duality; fundamental class Tarrío, L. Alonso; Lopez, A. Jeremías; Lipman, J.; Bivariance: Grothendieck duality and Hochschild homology I: Construction of a bivariant theory, Asian J. Math. 15, 451-498 (2011)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Peterson variety; equivariant cohomology; Monk's rule; Giambelli's formula; Schubert calculus Drellich, Elizabeth, Monk's rule and Giambelli's formula for Peterson varieties of all Lie types, J. Algebraic Combin., 41, 2, 539-575, (2015)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double affine Hecke algebras; degenerate Hecke algebras; simple modules in category \(\mathcal O\); simple spherical representations; induced modules; rational Cherednik algebras; spherical finite-dimensional modules M. Varagnolo and E. Vasserot, Double affine Hecke algebras and affine flag manifolds. I, Affine flag manifolds and principal bundles, 233--289, Trends Math., Birkhäuser/Springer Basel AG, Basel, 2010.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag variety; Schubert variety; cominuscule; minuscule; equivariant; \(K\)-theory
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials generic symmetric matrix; homaloidal polynomials; polar map; gradient ideal; linear syzygies; dual variety
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials unique rectification target; jeu de taquin; \(d\)-complete poset; Schubert calculus; Kac-Moody group Rahul Ilango, Oliver Pechenik, Michael Zlatin, Unique rectification in \(d\)-complete posets: towards the \(K\)-theory of Kac-Moody flag varieties, preprint 2018, 34 pages, arXiv:1805.02287.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Ulrich bundles; double planes
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert; Wronskian; Grassmanian \textsc{N.~Hein, F.~Sottile, and I.~Zelenko}, \textit{A congruence modulo four in real Schubert calculus}, J. Reine Angew. Math., 714 (2016), pp.~151-174.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials nearest neighbour interchange; Ehrhart polynomials; polytopes; cubic graphs; scissors congruence
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials tropical Newton-Puiseux polynomial; zeroes of tropical parametric polynomials
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(K3\) surfaces; perverse sheaves; semistable sheaves; Fourier-Mukai partners; rational double points K. Yoshioka, Perverse coherent sheaves and Fourier-Mukai transforms on surfaces I, Kyoto J. Math. 53 (2013), no. 2, 261-344.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials smooth 4-manifold; double points of immersed spheres; homology classes in rational surfaces Suciu, A.: Immersed spheres in CP2 and \(S2{\times}\)S2. Math. Z. 196, 51-57 (1987)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials affine Grassmannians; Schubert varieties; intersection cohomology; local models of Shimura varieties
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials component groups of an abelian variety; discrete valuation ring; Grothendieck's pairing Bertapelle, A.: On perfectness of Grothendieck's pairing for \(l\)-parts of component groups. J. Reine Angew. Math. \textbf{538}, 223-236 (2001)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials polynomials; positive coefficients; projective toric manifolds
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials abelian varieties; Barsotti-Tate groups; moduli spaces; Grothendieck conjecture Oort, F.: Newton polygons and p-divisible groups: a conjecture by Grothendieck. Automorphic forms I, Astérisque, No. 298, pp. 255--269. Société Mathématique de France, Paris (2005)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double-dimer model; dimer model; condensation; recurrence
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials moduli spaces; curves; double covers; algebraic groups; Chow groups
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck-Witt groups of schemes; Hermitian Quillen-Lichtenbaum conjecture; number fields; algebraic varieties Berrick, A. J.; Karoubi, M.; Schlichting, M.; Østvær, P. A., The Homotopy Fixed Point Theorem and the Quillen-Lichtenbaum conjecture in Hermitian \(K\)-theory, Adv. Math., 278, 34-55, (2015)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric functions; \(n!\) conjecture; Frobenius series; diagonal harmonics; commuting variety; symmetric polynomials; algebraic varieties; Hilbert scheme M. Haiman, ''Macdonald polynomials and geometry'' in New Perspectives in Algebraic Combinatorics (Berkeley, Calif., 1996--97) , Math. Sci. Res. Inst. Publ. 38 , Cambridge Univ. Press, Cambridge, 1999, 207--254.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Hecke polynomials; differential systems
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials motivic homotopy theory; Grothendieck-Witt group; trace formula Hoyois, Marc, A quadratic refinement of the {G}rothendieck-{L}efschetz-{V}erdier trace formula, Algebr. Geom. Topol.. Algebraic \& Geometric Topology, 14, 3603-3658, (2014)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials étale cohomology; values of L-functions; Grothendieck's purity conjecture; Riemann-Roch problem; Atiyah-Bott fixed point formula; Tate conjecture; construction of a motivic cohomology theory; algebraic K- theory; topological K-theory; algebraic objects; stable homotopy objects Thomason, R. W.: Survey of algebraic versus étale topologicalK-theory,Algebraic K-Theory and Algebraic Number Theory, Contemporary Mathematics 83, Amer. Math. Soc., Providence (1989).
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Calabi-Yau threefolds; double-odd curves; indifferentiable hashing to elliptic curves; \(j\)-invariant 1728; pairing-based cryptography
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck-Teichmüller group; Galois theory; hyperadelic gamma and beta functions Y. Ihara, ''On beta and gamma functions associated with the Grothendieck-Teichmüller groups,'' in Aspects of Galois Theory, Cambridge, 1999, pp. 144-179.
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials hyperbolic polynomials; discriminants of smooth maps; discrete Morse theory; resonances; stratification DOI: 10.1007/BF02784511
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symplectic Grassmannian; Schubert calculus; Giambelli formula; Pfaffian; signed permutation; \(k\)-strict partition
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials square values of quadratic polynomials; covering collections; elliptic Chabauty method González-Jiménez, E.; Xarles, X., On symmetric square values of quadratic polynomials, Acta Arith., 149, 2, 145-159, (2011)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials polynomial interpolation; triple point; double point; zero-dimensional scheme Edoardo Ballico, On the postulation of general union of double points and triple points in P3, preprint 2007
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(C^ \infty\)-manifolds; cut-and-paste specification; plus-construction; Banach analytic spaces; schemes; algebraic spaces; local structure; formal subsets; pullback-stable; canopies; Grothendieck topology; continuous functor; global structure; rigid analytic spaces; espaces analytique banachique; universal constructions Feit P., Axiomization of Passage from 'Local' Structure to 'Global' Object 91 pp 485-- (1993)
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials local Euler obstructions; Schubert stratification; Lagrangian Grassmannian; tree labelings
| 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials geometric Abel map; tropical Abel map; double ramification cycle
| 0 |
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