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Resumen de Combinatorics of syzygies for semigroup algebras

Emilio Briales Morales Árbol académico, Antonio Campillo López Árbol académico, Carlos Marijuán López Árbol académico, Pilar Pisón Casares Árbol académico

  • 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.

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