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The codimension-three conjecture for holonomic DQ-modules

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Abstract

On a complex symplectic manifold, we prove that any holonomic DQ-module endowed with a lattice and defined outside of an analytic subvariety of codimension 3 of its support extends as an holonomic DQ-module. This is an analogue for DQ-modules of the codimension-three conjecture for microdifferential modules recently proved by Kashiwara and Vilonen.

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Authors and Affiliations

  1. Department of mathematics, University of Luxembourg, Maison du nombre, 6 avenue de la Fonte, L-4364, Esch-sur-Alzette, Luxembourg

    François Petit

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  1. François Petit
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Correspondence to François Petit.

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The author was supported by the EPSRC Grant EP/G007632/1 and in the frame of the OPEN scheme of the Fonds National de la Recherche (FNR) with the Project QUANTMOD O13/570706.

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Petit, F. The codimension-three conjecture for holonomic DQ-modules. Sel. Math. New Ser. 24, 1147–1181 (2018). https://doi.org/10.1007/s00029-017-0354-2

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