On the Chern Number of a Filtration

Maria Evelina Rossi; Giuseppe Valla

Displaying similar documents to “On the Chern Number of a Filtration”

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

Santiago Zarzuela (1992)

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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.

Minimal injective resolutions with applications to dualizing modules and Gorenstein modules

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Minimal injective resolutions

Robert M. Fossum (1974-1975)

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Claudia Menini (1988)

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On Cohen-Macaulay rings

Edgar E. Enochs, Jenda M. G. Overtoun (1994)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we use a characterization of $R$ -modules $N$ such that $f d_{R} N = p d_{R} N$ to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting $N$ to be the $d t h$ local cohomology functor of $R$ with respect to the maximal ideal where $d$ is the Krull dimension of $R$ .