Stability of syzygy bundles on abelian varieties
arXiv:2007.08846 · doi:10.1112/blms.12481
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.
arXiv commentFinal version. To appear in Bull. Lond. Math. Soc