English

A derived category approach to Kempf's vanishing theorem

Algebraic Geometry 2017-10-17 v3 Representation Theory

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 Z\mathbb Z.

Keywords

Cite

@article{arxiv.1611.10320,
  title  = {A derived category approach to Kempf's vanishing theorem},
  author = {Alexander Samokhin},
  journal= {arXiv preprint arXiv:1611.10320},
  year   = {2017}
}

Comments

9 pp., revised version