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

In this note we give the description of a morphism related with the structure of the canonocal module 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 IierzogSimis-Vasconcelos characterizing when...

Descripción completa

Detalles Bibliográficos
Autor: Zarzuela, Santiago
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1992
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/132434
Acceso en línea:https://hdl.handle.net/2445/132434
Access Level:acceso abierto
Palabra clave:Anells commutatius
Geometria algebraica
Commutative rings
Algebraic geometry
Descripción
Sumario:In this note we give the description of a morphism related with the structure of the canonocal module 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 IierzogSimis-Vasconcelos characterizing when the canonical module of R(I) has the expected form.