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arXiv · 1807.11670

Asymptotic vanishing of homogeneous components of multigraded modules and its applications

Futoshi Hayasaka
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Abstract

In this article, we give a condition on the vanishing of finitely many homogeneous components which must imply the asymptotic vanishing for multigraded modules. We apply our result to multi-Rees algebras of ideals. As a consequence, we obtain a result on normality of monomial ideals, which extends and improves the results of Reid-Roberts-Vitulli, Singla, and Sarkar-Verma.

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Futoshi Hayasaka. 2018-07-31. Asymptotic vanishing of homogeneous components of multigraded modules and its applications. https://arxiv.org/abs/1807.11670

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