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arXiv · 1010.2908

Holonomic D-modules and positive characteristic

Maxim Kontsevich
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Abstract

This article is based on the 5th Takagi Lectures delivered at the University of Tokyo in 2008. We discuss a hypothetical correspondence between holonomic D-modules on an algebraic variety X defined over a field of zero characteristic, and certain families of Lagrangian subvarieties in the cotangent bundle to X. The correspondence is based on the reduction to positive characteristic.

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Maxim Kontsevich. 2010-10-14. Holonomic D-modules and positive characteristic. https://arxiv.org/abs/1010.2908

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