Asymptotic vanishing of homogeneous components of multigraded modules and its applications

JOURNAL OF ALGEBRA

卷:513

Article

Hayasaka, Futoshi¹ 

[1] Okayama Univ, Dept Environm & Math Sci, Kita Ku, 3-1-1 Tsushimanaka, Okayama 7008530, Japan

关键词: Multigraded modules;    Spread;    Integral closure;    Monomial ideals;   

DOI  :  10.1016/j.jalgebra.2018.07.022

来源: Elsevier

【 摘 要 】

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 and Vitulli [14], Singla [16], and Sarkar and Verma [15]. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free