The codimension-three conjecture for holonomic DQ-modules

• François Petit ^[1]
  1. [1] University of Luxembourg

     University of Luxembourg

     Luxemburgo

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 2, 2018, págs. 1147-1181
• Idioma: inglés
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• Resumen

  • 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.