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 / Caucci, F.; Lahoz, M.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 53:4(2021), pp. 1030-1036. [10.1112/blms.12481]
Stability of syzygy bundles on abelian varieties
Caucci F.;
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.File allegati a questo prodotto
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