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arXiv · 2305.15802

Asymptotic nonvanishing of syzygies of algebraic varieties

Jinhyung Park
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Abstract

We establish precise nonvanishing results for asymptotic syzygies of smooth projective varieties. This refines Ein-Lazarsfeld's asymptotic nonvanishing theorem. Combining with the author's previous asymptotic vanishing result, we completely determine the asymptotic shapes of the minimal free resolutions of the graded section modules of a line bundle on a smooth projective variety as the positivity of the embedding line bundle grows.

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Jinhyung Park. 2023-05-25. Asymptotic nonvanishing of syzygies of algebraic varieties. https://arxiv.org/abs/2305.15802

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