Combinatoric of syzygies for semigroup algebras.
Emilio Briales, Pilar Pisón, Antonio Campillo, Carlos Marijuán (1998)
Collectanea Mathematica
Similarity:
We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The Cohen-Macaulay type is computed from combinatorics. As an application, we compute explicitly the graded minimal resolution of monomial both affine and simplicial projective surfaces.