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arXiv 2001.064012020-01math.AG

A finiteness theorem for holonomic DQ-modules on Poisson manifolds

Masaki Kashiwara, Pierre Schapira

备注：: In v2, some mistakes corrected and many new results added
发表信息：: Tunisian J. Math. 3 (2021) 571-588
DOI：: 10.2140/tunis.2021.3.571

英文摘要：

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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