Autor:	Buchweitz, Ragnar-Olaf, Leuschke, Graham J., Bergh, Michel Van den
Rok vydání:	2010
Předmět:	Mathematics - Representation Theory Mathematics - Algebraic Geometry 14F05 14M15 15A75 16S38
Zdroj:	Compositio Mathematica 151 (2015) 1242-1264
Druh dokumentu:	Working Paper
DOI:	10.1112/S0010437X14008070
Popis:	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. Comment: 22 pages, revisions as suggested by the referees
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.1633 Zobrazit plný text záznamu View this record from Arxiv