Vector bundles on projective varieties and representations of quivers

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.

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Bibliographic Details
Date:2015
Main Authors: Jardim, M., Prata, D.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155146
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Vector bundles on projective varieties and representations of quivers / M. Jardim, D.M. Prata // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 217-249. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine