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arXiv · 1204.0537

A Derived Equivalence for some Twisted Projective Homogeneous Varieties

Mark Blunk
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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.

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Mark Blunk. 2012-04-02. A Derived Equivalence for some Twisted Projective Homogeneous Varieties. https://arxiv.org/abs/1204.0537

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