The fibre of the Bott-Samelson resolution.

DOI10.1016/S0019-3577(01)80034-3zbMath1065.14065arXivmath/0103009MaRDI QIDQ1866438

Stéphane Gaussent

Publication date: 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103009

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Grassmannians, Schubert varieties, flag manifolds (14M15) Groups with a (BN)-pair; buildings (20E42)

Related Items (10)

Standard monomial theory for desingularized Richardson varieties in the flag variety \(\mathrm{GL}(n)/B\) ⋮ Modular intersection cohomology complexes on flag varieties ⋮ A singular Coxeter presentation ⋮ Geometry of canonical bases and mirror symmetry ⋮ Notes on the Geometric Satake Equivalence ⋮ Whittaker functions and Demazure operators ⋮ Corrections and new results on the fibre of the Bott-Samelson resolution ⋮ Combinatorial Tangent Space and Rational Smoothness of Schubert Varieties ⋮ Strict Bott–Samelson Resolutions of Schubert Varieties ⋮ Rational curves on minuscule Schubert varieties

Cites Work

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• Uniqueness and presentation of Kac-Moody groups over fields
• A combinatorial setting for questions in Kazhdan-Lusztig theory
• On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
• Buildings of spherical type and finite BN-pairs
• Le lieu singulier des variétés de Schubert. (The singular locus of Schubert varieties)
• Sur certains groupes simples
• On Cycles in Flag Manifolds.
• Désingularisation des variétés de Schubert généralisées

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