Asymptotic vanishing of homogeneous components of multigraded modules and its applications
Commutative Algebra
2018-08-01 v1
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.
Keywords
Cite
@article{arxiv.1807.11670,
title = {Asymptotic vanishing of homogeneous components of multigraded modules and its applications},
author = {Futoshi Hayasaka},
journal= {arXiv preprint arXiv:1807.11670},
year = {2018}
}
Comments
21 pages, to appear in J. Algebra