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

2005/03/24 by Markus Perling, Perling, Markus · 1 citation
Computer Science · Mathematics · #13C14 (Primary) 52B40 (Secondary) #14M25 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.AG #msc:13C14 #msc:14M25 #msc:52B40

paper · pdf · doi:10.48550/arxiv.math/0503558

18 pages, requires packages ams*, enumerate

arxiv created 2005/03/24 · openalex publication_date 2005/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Algorithms for graded injective resolutions and local cohomology over semigroup rings

Cited by

• Remarks on divisorial ideals arising from dimer models

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