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.
Stability of syzygy bundles on abelian varieties / F. Caucci, M. Lahoz. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - (2021). [Epub ahead of print]
Stability of syzygy bundles on abelian varieties
F. Caucci
Primo
;
2021
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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