On the finiteness of Bass numbers of local cohomology modules over Noetherian regular local rings

Abstract

Abstract. Let R be a commutative Noetherian regular local ring containing a field. Let I be an ideal of R and let` 0 be an integer. In this paper it is shown that for every finitely generated R-module M and each integer i `, the Bass numbers of the R-module H i I .M / are finite, whenever, dim Supp.H i I .R// Ä 1, for all i `.