Rees Algebras of a Class of Graded Ideals

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$(A)$.