Affine convex body semigroups and Buchsbaum rings
  In this work, new families of Buchsbaum rings, developed by mean of convex body semigroups, are presented. We characterize Buchsbaum circle and convex polygonal semigroups and describe algorithmic methods to check these characterizations. 
J. I. Garc\'ia-Garc\'ia, A. S\'anchez-R.-Navarro and A.   Vigneron-Tenorio
math.AC