2001/03/02 by Stéphane Gaussent, Gaussent, Stéphane · 1 citation
Engineering · Mathematics · #14M15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Optical Network Technologies #math.AG #msc:14M15
paper · pdf · doi:10.48550/arxiv.math/0103009
17 pages
arxiv created 2001/03/02 · openalex publication_date 2001/03/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G denote an adjoint semi-simple group over an algebraically closed field and T a maximal torus of G. Following Contou-Carrère [CC], we consider the Bott-Samelson resolution of a Schubert variety as a variety of galleries in the building associated to the group G. We first determine a cellular decomposition of this variety analogous to the Bruhat decomposition of a Schubert variety and then we describe the fibre of this resolution above a T-fixed point.