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

抄録

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.