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Row Convex Tableaux and Bott-Samelson Varieties

2009/05/09 by Philip Foth, Foth, Philip, Sangjib Kim +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.0905.1374

revised version, 15 pages, 2 figures

arxiv created 2013/12/15 · arxiv updated 2013/12/17

Abstract

By using row convex tableaux, we study the section rings of Bott-Samelson varieties of type A. We obtain flat deformations and standard monomial type bases of the section rings. In a separate section, we investigate a three dimensional Bott-Samelson variety in detail and compute its Hilbert polynomial and toric degenerations.

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