Vector bundles on projective varieties and representations of quivers
Algebraic Geometry
2016-07-05 v1 Representation Theory
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
Cite
@article{arxiv.1509.04493,
title = {Vector bundles on projective varieties and representations of quivers},
author = {Marcos Jardim and Daniela M. Prata},
journal= {arXiv preprint arXiv:1509.04493},
year = {2016}
}
Comments
29 pages. Partially overlaps with arXiv:1210.7835. To appear in Algebra and Discrete Mathematics