# Constructibility of tempered solutions of holonomic D-modules

@article{Morando2010ConstructibilityOT, title={Constructibility of tempered solutions of holonomic D-modules}, author={Giovanni Morando}, journal={arXiv: Algebraic Geometry}, year={2010} }

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.

## 6 Citations

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### Regular and Irregular Holonomic D-Modules

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D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment…

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