Results 21 to 30 of about 27,072 (238)
Root-theoretic Young Diagrams, Schubert Calculus and Adjoint Varieties [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Root-theoretic Young diagrams are a conceptual framework to discuss existence of a root-system uniform and manifestly non-negative combinatorial rule for Schubert calculus.
Dominic Searles, Alexander Yong
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Schubert Quiver Grassmannians [PDF]
, 2017 Quiver Grassmannians are projective varieties parametrizing subrepresentations of given dimension in a quiver representation. We define a class of quiver Grassmannians generalizing those which realize degenerate flag varieties.
CERULLI IRELLI, GIOVANNI +2 more
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Geometric vertex decomposition and liaison
Forum of Mathematics, Sigma, 2021 Geometric vertex decomposition and liaison are two frameworks that have been used to produce similar results about similar families of algebraic varieties. In this paper, we establish an explicit connection between these approaches.
Patricia Klein, Jenna Rajchgot
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Schubert unions in Grassmann varieties
Finite Fields and Their Applications, 2007 37 pages, 2 ...
Johan P. Hansen +2 more
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Chevalley-Monk and Giambelli formulas for Peterson Varieties [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A Peterson variety is a subvariety of the flag variety $G/B$ defined by certain linear conditions. Peterson varieties appear in the construction of the quantum cohomology of partial flag varieties and in applications to the Toda flows.
Elizabeth Drellich
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Grothendieck lines in 3d N $$ \mathcal{N} $$ = 2 SQCD and the quantum K-theory of the Grassmannian
Journal of High Energy Physics, 2023 We revisit the 3d GLSM computation of the equivariant quantum K-theory ring of the complex Grassmannian from the perspective of line defects.
Cyril Closset, Osama Khlaif
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The Secant Conjecture in the real Schubert calculus [PDF]
, 2012 We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian is transverse with all points real, if the flags defining the Schubert ...
del Campo, Abraham Martin +6 more
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An inequality of Kostka numbers and Galois groups of Schubert problems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We show that the Galois group of any Schubert problem involving lines in projective space contains the alternating group. Using a criterion of Vakil and a special position argument due to Schubert, this follows from a particular inequality among Kostka ...
Christopher J. Brooks +2 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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Projected Richardson varieties and affine Schubert varieties [PDF]
, 2015 Let $G$ be a complex quasi-simple algebraic group and $G/P$ be a partial flag variety. The projections of Richardson varieties from the full flag variety form a stratification of $G/P$.
He, Xuhua, Lam, Thomas
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