Row Convex Tableaux and Bott-Samelson Varieties

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.

revised version, 15 pages, 2 figures

Cited by in corpus (2)

• Okounkov bodies and toric degenerations
• Standard Monomial Theory of RR varieties