On the Derived Category of Grassmannians in Arbitrary Characteristic
MFO Scientific ProgramResearch in Pairs 2012
Leuschke, Graham J.
Van den Bergh, Michel
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In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on them (which are however not strong) as well as a tilting bundle. We show that this tilting bundle has a quasi-hereditary endomorphism ring and we identify the standard, costandard, projective and simple modules of the latter.