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Stability of syzygy bundles on abelian varieties

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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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Bulletin of the London Mathematical Society, 2021, vol. 53, num. 4, p. 1030-1036

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Stability of syzygy bundles on abelian varieties