A derived category approach to Kempf's vanishing theorem

2016/11/30 by Alexander Samokhin, Samokhin, Alexander
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Representation Theory (math.RT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1611.10320

openalex publication_date 2016/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a proof of the Andersen-Haboush identity that implies Kempf's vanishing theorem. Our argument is based on the structure of derived categories of coherent sheaves on flag varieties over \mathbb Z.

Citations

• Localization of modules for a semisimple Lie algebra in prime characteristic

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