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arxiv: 1204.0537 · v1 · pith:MGGNHSWAnew · submitted 2012-04-02 · 🧮 math.AG

A Derived Equivalence for some Twisted Projective Homogeneous Varieties

classification 🧮 math.AG
keywords derivedvarietiescategorysheafalgebraicalgebrascomponentconsists
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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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