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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2015, Volume 20, Issue 2, Pages 217–249 (Mi adm541)

RESEARCH ARTICLE

Vector bundles on projective varieties and representations of quivers

Marcos Jardim, Daniela Moura Prata

IMECC–UNICAMP, Departamento de Matemática

Abstract: We present equivalences between certain categories of vector bundles on projective varieties, namely cokernel bundles, Steiner bundles, syzygy bundles, and monads, and full subcategories of representations of certain quivers. As an application, we provide decomposability criteria for such bundles.

Keywords: vector bundles, representations of quivers.

 Funding Agency Grant Number National Council for Scientific and Technological Development (CNPq) 400356/2015-5 Fundação de Amparo à Pesquisa do Estado de São Paulo 2014/14743-82007/07469-32011/21398-7 The first named author is partially supported by the CNPq grant no. 400356/2015-5 and the FAPESP grant no. 2014/14743-8. The second named author was supported by the FAPESP doctoral grant no. 2007/07469-3 and the FAPESP post-doctoral grant no. 2011/21398-7.

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Bibliographic databases:
MSC: 14F05, 14J60
Revised: 13.09.2015
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Citation: Marcos Jardim, Daniela Moura Prata, “Vector bundles on projective varieties and representations of quivers”, Algebra Discrete Math., 20:2 (2015), 217–249

Citation in format AMSBIB
\Bibitem{JarPra15} \by Marcos~Jardim, Daniela~Moura~Prata \paper Vector bundles on projective varieties and~representations of quivers \jour Algebra Discrete Math. \yr 2015 \vol 20 \issue 2 \pages 217--249 \mathnet{http://mi.mathnet.ru/adm541} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3453814} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000378729300004}