Combinatorics of syzygies for semigroup algebras

• Autores: Emilio Briales Morales , Antonio Campillo López , Carlos Marijuán López , Pilar Pisón-Casares
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 2-3, 1998, págs. 239-256
• Idioma: inglés
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• 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.