English

The Codimension-Three conjecture for holonomic DQ-modules

Algebraic Geometry 2014-12-03 v2

Abstract

We prove an analogue for holonomic DQ-modules of the codimension-three conjecture for microdifferential modules recently proved by Kashiwara and Vilonen. Our result states that any holonomic DQ-module having a lattice extends uniquely beyond an analytic subset of codimension equal to or larger than three in a Lagrangian subvariety containing the support of the DQ-module.

Keywords

Cite

@article{arxiv.1406.7074,
  title  = {The Codimension-Three conjecture for holonomic DQ-modules},
  author = {Francois Petit},
  journal= {arXiv preprint arXiv:1406.7074},
  year   = {2014}
}

Comments

37 pages, several minor corrections

R2 v1 2026-06-22T04:48:48.079Z