Combinatorial Tangent Space and Rational Smoothness of Schubert Varieties

DOI10.1081/AGB-120022214zbMath1065.14060arXivmath/0103022MaRDI QIDQ4414317

Stéphane Gaussent

Publication date: 24 July 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103022

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Affine algebraic groups, hyperalgebra constructions (14L17)

Cites Work

• A combinatorial setting for questions in Kazhdan-Lusztig theory
• Representations of Coxeter groups and Hecke algebras
• Buildings of spherical type and finite BN-pairs
• The fibre of the Bott-Samelson resolution.
• Local poincaré duality and non-singularity of schubert varieties

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