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arXiv · 1309.6677

On involutivity of p-support

Michel Van den Bergh
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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.

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Michel Van den Bergh. 2013-11-30. On involutivity of p-support. https://arxiv.org/abs/1309.6677

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