LOCAL COHOMOLOGY MODULES OF $A$-HYPERGEOMETRIC SYSTEMS OF COHEN-MACAULAY TYPE

GO OKUYAMA

doi:10.2748/tmj/1156256404

Tohoku Mathematical Journal, Second Series

Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735

LOCAL COHOMOLOGY MODULES OF $A$-HYPERGEOMETRIC SYSTEMS OF COHEN-MACAULAY TYPE

GO OKUYAMA

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Keywords: Local cohomology, toric varieties, semigroup rings, Cohen-Macaulay modules, Fourier transform, $A$-hypergeometric systems

JOURNAL FREE ACCESS

2006 Volume 58 Issue 2 Pages 259-275

DOI https://doi.org/10.2748/tmj/1156256404

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Abstract

We study the structure of the local cohomology modules of the Fourier transform of $A$-hypergeometric systems. In particular, we are interested in local cohomology modules with respect to the orbit of a certain action on the toric variety determined by $A$. The purpose in this paper is to describe their structure by using a certain combinatorial object.

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