Stability of syzygy bundles on an algebraic surface
Algebraic Geometry
2012-11-30 v1
Abstract
Given a very ample line bundle L on a projective variety X, the syzygy bundle M_L associated to L is the kernel of the evaluation map on sections of L. Our main result is that if X is a smooth projective surface defined over an algebraically closed field, then M_L is slope-stable for any sufficiently positive L.
Keywords
Cite
@article{arxiv.1211.6921,
title = {Stability of syzygy bundles on an algebraic surface},
author = {Lawrence Ein and Robert Lazarsfeld and Yusuf Mustopa},
journal= {arXiv preprint arXiv:1211.6921},
year = {2012}
}