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Algebra and Discrete Mathematics, 2015, Volume 20, Issue 2, Pages 217–249 (Mi adm541)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Vector bundles on projective varieties and representations of quivers

Marcos Jardim, Daniela Moura Prata

IMECC–UNICAMP, Departamento de Matemática
Full-text PDF (468 kB) Citations (2)
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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 2014/14743-8
2007/07469-3
2011/21398-7
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.
Received: 01.03.2015
Revised: 13.09.2015
Bibliographic databases:
Document Type: Article
MSC: 14F05, 14J60
Language: English
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://mathscinet.ams.org/mathscinet-getitem?mr=3453814}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378729300004}
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  • https://www.mathnet.ru/eng/adm/v20/i2/p217
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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    References:72
     
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