Rees Algebras of a Class of Graded Ideals

Resumo

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).