A Derived Equivalence for some Twisted Projective Homogeneous Varieties

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.

16 pages

References in corpus (1)

• Exceptional collections for Grassmannians of isotropic lines

Cited by in corpus (7)

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• Tilting objects on twisted forms of some relative flag varieties
• No full exceptional collections on non-split Brauer--Severi varieties of dimension $\le 3$
• Rational points on symmetric powers and categorical representability
• Pushforwards of Tilting Sheaves