Stability of syzygy bundles on abelian varieties
Algebraic Geometry
2023-06-14 v3
Abstract
We prove that the kernel of the evaluation morphism of global sections - namely the syzygy bundle - of a sufficiently ample line bundle on an abelian variety is stable. This settles a conjecture of Ein-Lazarsfeld-Mustopa, in the case of abelian varieties.
Cite
@article{arxiv.2007.08846,
title = {Stability of syzygy bundles on abelian varieties},
author = {Federico Caucci and Martí Lahoz},
journal= {arXiv preprint arXiv:2007.08846},
year = {2023}
}
Comments
Final version. To appear in Bull. Lond. Math. Soc