Combinatorics of syzygies for semigroup algebras

1. Briales Morales, Emilio
2. Campillo López, Antonio
3. Marijuán López, Carlos
4. Pisón-Casares, Pilar

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Otras publicaciones en: Collectanea mathematica

Resumen

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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