Results 21 to 30 of about 761 (218)
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
doaj +1 more source
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
doaj +1 more source
Schubert unions in Grassmann varieties
Finite Fields and Their Applications, 2007 37 pages, 2 ...
Hansen, Johan Peder +2 more
openaire +3 more sources
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
doaj +1 more source
Schubert varieties, toric varieties and ladder determinantal varieties [PDF]
Annales de l'Institut Fourier, 1997 We construct certain normal toric varieties (associated to finite distributive lattices) which are degenerations of the Grassmannians. We also determine the singular loci for certain normal toric varieties, namely the ones which are certain ladder determinantal varieties. As a consequence, we prove a refined version of the conjecture of Laksmibai &
Gonciulea, Nicolae +1 more
openaire +2 more sources
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
doaj +1 more source
Representation Theory of the American Mathematical Society, 2000 For a semisimple adjoint algebraic group G G and a Borel subgroup B B , consider the double classes B w B BwB in G G and their closures in the canonical compactification of G G ; we call these closures large Schubert varieties.
Brion, Michel, Polo, Patrick
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Spectrum of equivariant cohomology as a fixed point scheme [PDF]
Épijournal de Géométrie AlgébriqueAn action of a complex reductive group $\mathrm G$ on a smooth projective variety $X$ is regular when all regular unipotent elements in $\mathrm G$ act with finitely many fixed points.
Tamás Hausel, Kamil Rychlewicz
doaj +1 more source