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http://hdl.handle.net/1942/19873
Title: | On the derived category of Grassmannians in arbitrary characteristic | Authors: | Buchweitz, Ragnar-Olaf Leuschke, Graham J. VAN DEN BERGH, Michel |
Issue Date: | 2015 | Publisher: | CAMBRIDGE UNIV PRESS | Source: | COMPOSITIO MATHEMATICA, 151 (7), p. 1242-1264 | 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. | 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. | Keywords: | Grassmannian variety; exceptional collection; tilting bundle; semi-orthogonal decomposition; quasi-hereditary algebra;Grassmannian variety; exceptional collection; tilting bundle; semi-orthogonal decomposition; quasi-hereditary algebra | Document URI: | http://hdl.handle.net/1942/19873 | ISSN: | 0010-437X | e-ISSN: | 1570-5846 | DOI: | 10.1112/S0010437X14008070 | ISI #: | 000358452200003 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
Appears in Collections: | Research publications |
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1006.1633.pdf | Non Peer-reviewed author version | 545.59 kB | Adobe PDF | View/Open |
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