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On the derived category of Grassmannians in arbitrary characteristic

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.

preprint2013arXivOpen access
Ragnar-Olaf BuchweitzGraham J. LeuschkeMichel Van den Bergh
math.RTmath.AG
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Ragnar-Olaf BuchweitzGraham J. LeuschkeMichel Van den Bergh

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