Rees Algebras of a Class of Graded Ideals


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Abstract

The paper deals with the Rees algebra \(\mathcal{R}\) of a graded ideal I of a standard graded algebra A generated by a subset of generators of the maximal graded ideal of A. We compute the cohomology modules of \(\mathcal{R}\) in terms of the cohomology modules of A and depth(\(\mathcal{R}\)) in terms of depth (A).

About the authors

G. Restuccia

Universitá degli Studi di Messina

Author for correspondence.
Email: gaetana.restuccia@unime.it
Italy, Messina, 98166

R. Utano

Universitá degli Studi di Messina

Author for correspondence.
Email: rosanna.utano@unime.it
Italy, Messina, 98166

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