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...

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Detalhes bibliográficos
Autor: Zarzuela, Santiago
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1992
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/132434
Acesso em linha:https://hdl.handle.net/2445/132434
Access Level:acceso abierto
Palavra-chave:Anells commutatius
Geometria algebraica
Commutative rings
Algebraic geometry
Descrição
Resumo: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.