On the structure of the canonical module of the Rees algebra and the associated graded ring of an ideal

• Autores: Santiago Zarzuela
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 2, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 1075-1084
• Idioma: inglés
• DOI: 10.5565/publmat_362b92_22
• Títulos paralelos:
  • Estructura del modelo canónico del álgebra de Rees y anillo graduado asociado de un ideal
• Enlaces
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• Resumen

  • In this note we give a description of a morphism related to the structure of the canonical model of the Rees algebra R(I) of an ideal I in a local ring. As an application we obtain Ikeda's criteria for the Gorensteinness of R(I) and a result of Herzog-Simis-Vasconcelos characterizing when the canonical module of R(I) has the expected form.