Preconstructibility of tempered solutions of holonomic D-modules

Details Preconstructibility of tempered solutions of holonomic D-modules Preconstructibility of tempered solutions of holonomic D-modules

2010-07-23

arxiv.org/abs/1007.4158v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

In this paper we prove the preconstructibility of the complex of tempered holomorphic solutions of holonomic D-modules on complex analytic manifolds. This implies the finiteness of such complex on any relatively compact open subanalytic subset of a complex analytic manifold. Such a result is an essential step for proving a conjecture of M. Kashiwara and P. Schapira (2003) on the constructibility of such complex.

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