Results 1 to 10 of about 1,061 (68)
Beilinson–Drinfeld Schubert varieties and global Demazure modules
Forum of Mathematics, Sigma, 2021 We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Ilya Dumanski +2 more
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On a decomposition of $p$-adic Coxeter orbits [PDF]
Épijournal de Géométrie Algébrique, 2023 We analyze the geometry of some $p$-adic Deligne--Lusztig spaces $X_w(b)$ introduced in [Iva21] attached to an unramified reductive group ${\bf G}$ over a non-archimedean local field. We prove that when ${\bf G}$ is classical, $b$ basic and $w$ Coxeter, $
Alexander B. Ivanov
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Double Schubert polynomials do have saturated Newton polytopes
Forum of Mathematics, Sigma, 2023 We prove that double Schubert polynomials have the saturated Newton polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory of multidegrees.
Federico Castillo +3 more
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On First Order Congruences of Lines in P 4 with Generically Non-reduced Fundamental Surface [PDF]
, 2004 . In this article we obtain a complete description of the congruences of lines in P 4 oforder one provided that the fundamental surface F is non-reduced (and possibly reducible) at oneof its generic points, and their classification under the hypothesis ...
P. Poi
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Gushel--Mukai varieties: intermediate Jacobians [PDF]
Épijournal de Géométrie Algébrique, 2020 We describe intermediate Jacobians of Gushel-Mukai varieties $X$ of dimensions 3 or 5: if $A$ is the Lagrangian space associated with $X$, we prove that the intermediate Jacobian of $X$ is isomorphic to the Albanese variety of the canonical double ...
Olivier Debarre, Alexander Kuznetsov
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The New Convergence Definition for Sequence of k-Dimensional Subspaces of an Inner Product Space
Journal of Physics: Conference Series, 2019 We discuss the convergence for sequence of subspaces of an inner product space. This paper is an extension of the work by Manuharawati et al [10 and 11].
Manuharawati, D. N. Yunianti, M. Jakfar
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Eigenvalues, invariant factors, highest weights, and Schubert calculus [PDF]
, 1999 We describe recent work of Klyachko, Totaro, Knutson, and Tao that characterizes eigenvalues of sums of Hermitian matrices and decomposition of tensor products of representations of GLn(C). We explain related applications to invariant factors of products
W. Fulton
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THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS
Forum of Mathematics, Sigma, 2020 For a split reductive group $G$ over a finite field, we show that the intersection (cohomology) motive of the moduli stack of iterated $G$-shtukas with bounded modification and level structure is defined independently of the standard conjectures on ...
TIMO RICHARZ, JAKOB SCHOLBACH
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Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type
Forum of Mathematics, Sigma, 2021 We prove an explicit inverse Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds of simply laced type. By an ‘inverse Chevalley formula’ we mean a formula for the product of an equivariant scalar with a Schubert class, expressed
Takafumi Kouno +3 more
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Grassmanniennes affines tordues sur les entiers
Forum of Mathematics, Sigma, 2023 We generalize the works of Pappas–Rapoport–Zhu on twisted affine Grassmannians to the wildly ramified case under mild assumptions. This rests on a construction of certain smooth affine $\mathbb {Z}[t]$ -groups with connected fibers of parahoric ...
João Lourenço
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