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.
Full text: dvi.gz 25 k, dvi 55 k, ps.gz 753 k, pdf.gz 143 k, pdf 163 k.