Stability of syzygy bundles on smooth projective varieties
Algebraic Geometry
2021-04-27 v2
Abstract
We prove that the kernel bundle of the evaluation morphism of global sections, namely the syzygy bundle, of a sufficiently ample line bundle on a smooth projective variety is slope stable with respect to any polarization. This settles a conjecture of Ein-Lazarsfeld-Mustopa.
Keywords
Cite
@article{arxiv.2104.10271,
title = {Stability of syzygy bundles on smooth projective varieties},
author = {Shijie Shang},
journal= {arXiv preprint arXiv:2104.10271},
year = {2021}
}
Comments
The inequality deg(\bar{N}_d)<=\mu(\bar{M}_d)rank(F_d) (appeared on page 4) is wrong, and this invalidates the rest of the proof