Tohoku Mathematical Journal
2006
June
SECOND SERIES VOL. 58, NO. 2

Tohoku Math. J.
58 (2006), 259-275

Title LOCAL COHOMOLOGY MODULES OF $A$-HYPERGEOMETRIC SYSTEM OF COHEN-MACAULAY TYPE

Author Go Okuyama

(Received June 21, 2004, revised April 27, 2005)
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.

2000 Mathematics Subject Classification. Primary 13D45; Secondary 20M25, 14M25, 13C14, 16S36, 33C70, 42A38.
Key words and phrases. Local cohomology, toric varieties, semigroup rings, Cohen-Macaulay modules, Fourier transform, $A$-hypergeometric systems.

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