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arXiv · 2007.08846

Stability of syzygy bundles on abelian varieties

Federico Caucci·Martí Lahoz
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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.

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Federico Caucci, Martí Lahoz. 2020-07-17. Stability of syzygy bundles on abelian varieties. https://doi.org/10.1112/blms.12481

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