Mark Blunk: A Derived Equivalence for Some Twisted Projective Homogeneous Spaces

Submission: 2012, Apr 1

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.

2010 Mathematics Subject Classification:

Keywords and Phrases: Derived Category, Tilting Sheaf, Homogeneous Space.

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