A finiteness theorem for holonomic DQ-modules on Poisson manifolds
Algebraic Geometry
2021-05-19 v2
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.
Cite
@article{arxiv.2001.06401,
title = {A finiteness theorem for holonomic DQ-modules on Poisson manifolds},
author = {Masaki Kashiwara and Pierre Schapira},
journal= {arXiv preprint arXiv:2001.06401},
year = {2021}
}
Comments
In v2, some mistakes corrected and many new results added