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arXiv · 2001.06401

A finiteness theorem for holonomic DQ-modules on Poisson manifolds

Masaki Kashiwara·Pierre Schapira
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Abstract

On a complex symplectic manifold we prove a finiteness result for the global sections of solutions of holonomic DQ-modules in two cases: (a) by assuming that there exists a Poisson compactification (b) in the algebraic case. This extends our previous results in which the symplectic manifold was compact. The main tool is a finiteness theorem for R-constructible sheaves on a real analytic manifold in a non proper situation.

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Masaki Kashiwara, Pierre Schapira. 2020-03-06. A finiteness theorem for holonomic DQ-modules on Poisson manifolds. https://doi.org/10.2140/tunis.2021.3.571

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