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2021-08

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/190629

Stability of syzygy bundles on abelian varieties

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https://doi.org/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.

Subject

Geometria algebraica, Varietats abelianes

Subject (English)

Algebraic geometry, Abelian varieties

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

CAUCCI, Federico and LAHOZ VILALTA, Martí. Stability of syzygy bundles on abelian varieties. Bulletin of the London Mathematical Society. 2021. Vol. 53, num. 4, pags. 1030-1036. ISSN 0024-6093. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/190629

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