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arXiv · 2104.10271

Stability of syzygy bundles on smooth projective varieties

Shijie Shang
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Abstract

We prove that the kernel bundle of the evaluation morphism of global sections, namely the syzygy bundle, of a sufficiently ample line bundle on a smooth projective variety is slope stable with respect to any polarization. This settles a conjecture of Ein-Lazarsfeld-Mustopa.

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Shijie Shang. 2021-04-20. Stability of syzygy bundles on smooth projective varieties. https://arxiv.org/abs/2104.10271

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