Multiple convex body semigroups and Buchsbaum rings

 05 September 2020
 Mathematics - Research News

Juan Ignacio García-García, Alfredo Sánchez-R.-Navarro, Alberto Vigneron-Tenorio. Source: Journal of Commutative Algebra, Volume 12, Number 3, 309--318.Abstract:
In this work, using the concept of multiple convex body semigroup, we present new families of Buchsbaum semigroups. We characterize Buchsbaum circle and convex polygonal semigroups and we describe algorithmic methods to check such characterizations.