English

Microdifferential systems and the codimension-three conjecture

Algebraic Geometry 2013-07-30 v3 Complex Variables

Abstract

The codimension-three conjecture states that any regular holonomic module extends uniquely beyond an analytic subset with codimension equal to or larger than three. We give a proof of this conjecture.

Keywords

Cite

@article{arxiv.1209.5124,
  title  = {Microdifferential systems and the codimension-three conjecture},
  author = {Masaki Kashiwara and Kari Vilonen},
  journal= {arXiv preprint arXiv:1209.5124},
  year   = {2013}
}

Comments

44 pages in v1. 47 pages in v2. It is revised considerably to improve the exposition in v2. Small changes in v3

R2 v1 2026-06-21T22:09:43.845Z