On the Local Cohomology of Reflexive Modules of Rank One over Normal Semigroup Rings

Details On the Local Cohomology of Reflexive Modules of Rank One over Normal Semigroup Rings On the Local Cohomology of Reflexive Modules of Rank One over Normal Semigroup Rings

2005-03-24

arxiv.org/abs/math/0503558v1

Mathematics

Algebraic Geometry

18 pages, requires packages ams*, enumerate

Scientific paper

In this work we describe the local cohomology of reflexive modules of rank
one over normal semigroup rings with respect to monomial ideals. Using our
description we show that the problem of classifying maximal Cohen-Macaulay
modules of rank one can be rephrased in terms of finding integral solutions to
certain sets of linear inequalities.

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