English

Preconstructibility of tempered solutions of holonomic D-modules

Algebraic Geometry 2010-07-26 v1 Complex Variables

Abstract

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.

Keywords

Cite

@article{arxiv.1007.4158,
  title  = {Preconstructibility of tempered solutions of holonomic D-modules},
  author = {Giovanni Morando},
  journal= {arXiv preprint arXiv:1007.4158},
  year   = {2010}
}

Comments

24 pages

R2 v1 2026-06-21T15:52:19.251Z