Summary: OPERATIONS WITH REGULAR HOLONOMIC DMODULES
WITH SUPPORT A NORMAL CROSSING
Abstract. The aim of this work is to describe some operations in the category
of regular holonomic Dmodules with support a normal crossing and variation
zero introduced in . These operations will allow us to compute the Bass
numbers and the dual Bass numbers of these modules.
Let X = C n , OX the sheaf of holomorphic functions in C n , and DX the sheaf
of di#erential operators in C n with holomorphic coe#cients. Galligo, Granger and
Maisonobe , described in terms of linear algebra the category Mod(DX ) T
regular holonomic DX modules such that their solution complex RHomDX (M,OX )
are perverse sheaves relatively to the stratification given by the union T of the
coordinate hyperplanes in C n .
In Section 2 we recall the definition and the basic properties of the category
v=0 of modules with variation zero introduced in  (see also ). Moreover, we
define the category of modules with unipotent monodromy that is also a full abelian