On the Derived Category of Grassmannians in Arbitrary Characteristic

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Date
2013-12-09MFO Scientific Program
Research in Pairs 2012Series
Oberwolfach Preprints;2013,24Author
Buchweitz, Ragnar-Olaf
Leuschke, Graham J.
Van den Bergh, Michel
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Show full item recordOWP-2013-24
Abstract
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.