English

A Derived Equivalence for some Twisted Projective Homogeneous Varieties

Algebraic Geometry 2012-04-04 v1

Abstract

In this paper we construct a tilting sheaf for Severi-Brauer Varieties and Involution Varieties. This sheaf relates the derived category of each variety to the derived category of modules over a ring whose semisimple component consists of the Tits algebras of the corresponding linear algebraic group.

Keywords

Cite

@article{arxiv.1204.0537,
  title  = {A Derived Equivalence for some Twisted Projective Homogeneous Varieties},
  author = {Mark Blunk},
  journal= {arXiv preprint arXiv:1204.0537},
  year   = {2012}
}

Comments

16 pages

R2 v1 2026-06-21T20:43:43.159Z