Vector bundles on projective varieties and representations of quivers

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• ISSN: 1726-3255
• Main Authors: Jardim, M., Prata, D.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155146
• 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.

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.