Finiteness properties of local cohomology modules: a characteristic-free approach

If R is a commutative Noetherian regular ring containing a field and Iis an ideal of R, it is known that every local cohomology module of R with support in I has finite Bass numbers and a finite set of associated primes. However, the previously available proofs of this result were completely different from each other in characteristic p>0 and in characteristic 0. The purpose of this paper is to give a characteristic-free proof of this result modulo a result from the theory of D-modules which has a completely characteristic-free statement but for which we do not know a characteristic-free proof.