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On the derived category of Grassmannians in arbitrary characteristic

Published online by Cambridge University Press:  15 April 2015

Ragnar-Olaf Buchweitz
Department of Computer and Mathematical Sciences, University of Toronto Scarborough, Toronto, Ontario M1C 1A4, Canada email
Graham J. Leuschke
Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA email
Michel Van den Bergh
Departement WNI, Universiteit Hasselt, 3590 Diepenbeek, Belgium email
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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.

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© The Authors 2015 


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