On the derived category of Grassmannians in arbitrary characteristic

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.

22 pages, revisions as suggested by the referees

References in corpus (1)

• Pieri resolutions for classical groups

Cited by in corpus (5)

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