On Buchsbaum simplicial affine semigroups

P.A. García-Sánchez and J.C. Rosales

Vol. 202 (2002), No. 2, 329–339

DOI: 10.2140/pjm.2002.202.329

Abstract

We give an arithmetic characterization which allow us to determine algorithmically when the semigroup ring associated to a simplicial affine semigroup is Buchsbaum. This characterization is based on a test performed on the Apéry sets of the extremal rays of the semigroup. We use this method to obtain the cardinality of minimal presentations for semigroups with minimal Apéry set.

Milestones

Received: 24 April 2000

Revised: 6 September 2000

Published: 1 February 2002