A Derived Equivalence for some Twisted Projective Homogeneous Varieties

Details A Derived Equivalence for some Twisted Projective Homogeneous Varieties A Derived Equivalence for some Twisted Projective Homogeneous Varieties

2012-04-02

arxiv.org/abs/1204.0537v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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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