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Summary: OPERATIONS WITH REGULAR HOLONOMIC D-MODULES
WITH SUPPORT A NORMAL CROSSING
JOSEP `ALVAREZ MONTANER
Abstract. The aim of this work is to describe some operations in the category
of regular holonomic D-modules with support a normal crossing and variation
zero introduced in [2]. These operations will allow us to compute the Bass
numbers and the dual Bass numbers of these modules.
1. Introduction
Let X = Cn
, OX the sheaf of holomorphic functions in Cn
, and DX the sheaf
of differential operators in Cn
with holomorphic coefficients. Galligo, Granger and
Maisonobe [8], described in terms of linear algebra the category Mod(DX)T
hr of
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 Cn
.
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