Simple [formula omitted]-module components of local cohomology modules

Abstract

For a projective variety V⊂Pkn over a field of characteristic zero, with homogeneous ideal I in A=k[x0,…,xn], we consider the local cohomology modules HIi(A). These have a structure of holonomic D-module over A, and we investigate their filtration by simple D-modules. In case V is nonsingular, we can describe completely the simple D-module components of HIi(A) for all i, in terms of the Betti numbers of V.