Work

A finiteness theorem for holonomic DQ-modules on Poisson manifolds

Year: 2021

Type: article

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.

Source: Tunisian Journal of Mathematics

DOI: 10.2140/tunis.2021.3.571

Authors: Masaki Kashiwara, Pierre Schapira

Institutions: Korea Institute for Advanced Study, Research Institute for Mathematical Sciences, Kyoto University, Centre National de la Recherche Scientifique, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Japan Society for the Promotion of Science

Awards: Global Study of Primitive Forms, Representation theory and Algebraic analysis, Symplectic topology, microlocal sheaf theory and quantization