Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/19873
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dc.contributor.authorBuchweitz, Ragnar-Olaf-
dc.contributor.authorLeuschke, Graham J.-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2015-12-01T12:33:46Z-
dc.date.available2015-12-01T12:33:46Z-
dc.date.issued2015-
dc.identifier.citationCOMPOSITIO MATHEMATICA, 151 (7), p. 1242-1264-
dc.identifier.issn0010-437X-
dc.identifier.urihttp://hdl.handle.net/1942/19873-
dc.description.abstractIn 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.-
dc.description.sponsorshipThe first author was partly supported by NSERC grant 3-642-114-80. The second author was partly supported by NSF grant DMS 0902119 and a grant from the NSA. The third author is director of research at the FWO. Part of this research was supported through the 'Research in Pairs' programme by the Mathematisches Forschungsinstitut Oberwolfach in July 2012, and the work was completed at MSRI. We thank both institutions for their hospitality. This journal is Foundation Compositio Mathematica 2015.-
dc.language.isoen-
dc.publisherCAMBRIDGE UNIV PRESS-
dc.subject.otherGrassmannian variety; exceptional collection; tilting bundle; semi-orthogonal decomposition; quasi-hereditary algebra-
dc.subject.otherGrassmannian variety; exceptional collection; tilting bundle; semi-orthogonal decomposition; quasi-hereditary algebra-
dc.titleOn the derived category of Grassmannians in arbitrary characteristic-
dc.typeJournal Contribution-
dc.identifier.epage1264-
dc.identifier.issue7-
dc.identifier.spage1242-
dc.identifier.volume151-
local.format.pages23-
local.bibliographicCitation.jcatA1-
dc.description.notes[Buchweitz, Ragnar-Olaf] Univ Toronto Scarborough, Dept Comp & Math Sci, Toronto, ON M1C 1A4, Canada. [Leuschke, Graham J.] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA. [Van den Bergh, Michel] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium.-
local.publisher.placeCAMBRIDGE-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1112/S0010437X14008070-
dc.identifier.isi000358452200003-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
item.fullcitationBuchweitz, Ragnar-Olaf; Leuschke, Graham J. & VAN DEN BERGH, Michel (2015) On the derived category of Grassmannians in arbitrary characteristic. In: COMPOSITIO MATHEMATICA, 151 (7), p. 1242-1264.-
item.validationecoom 2016-
item.contributorBuchweitz, Ragnar-Olaf-
item.contributorLeuschke, Graham J.-
item.contributorVAN DEN BERGH, Michel-
crisitem.journal.issn0010-437X-
crisitem.journal.eissn1570-5846-
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