A-graded methods for monomial ideals

JOURNAL OF ALGEBRA

卷:322

Article

Berkesch, Christine²  Matusevich, Laura Felicia¹ 

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

关键词: Monomial ideals;    Stanley-Reisner rings;    Koszul complexes;    Multigradings;    D-modules;   

DOI  :  10.1016/j.jalgebra.2009.07.007

来源: Elsevier

【 摘 要 】

We use Z(d)-gradings to study d-dimensional monomial ideals. The Koszul functor is employed to interpret the quasidegrees of local cohomology in terms of the geometry of distractions and to explicitly compute the multiplicities of exponents. These multigraded techniques originate from the study of hypergeometric systems of differential equations. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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