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arxiv: 0905.1374 · v2 · pith:WEC6DC4Znew · submitted 2009-05-09 · 🧮 math.AG

Row Convex Tableaux and Bott-Samelson Varieties

classification 🧮 math.AG
keywords bott-samelsonsectionconvexringstableauxtypevarietiesbases
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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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