English

On involutivity of p-support

Rings and Algebras 2013-12-03 v2 Algebraic Geometry

Abstract

The p-support of a holonomic D-module was introduced by Kontsevich. Thomas Bitoun in his PhD thesis proved several properties of p-support conjectured by Kontsevich. In this note we give an alternative proof for involutivity by reducing it to a slight extension of Gabber's theorem on the integrability of the characteristic variety. For the benefit of the reader we review how this extension follows from Kaledin's proof of Gabber's theorem.

Keywords

Cite

@article{arxiv.1309.6677,
  title  = {On involutivity of p-support},
  author = {Michel Van den Bergh},
  journal= {arXiv preprint arXiv:1309.6677},
  year   = {2013}
}

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8 pages