Holonomic D-modules and positive characteristic

Details Holonomic D-modules and positive characteristic Holonomic D-modules and positive characteristic

2010-10-14

arxiv.org/abs/1010.2908v1

Japan. J. Math. 4, 1-25 (2009)

Mathematics

Rings and Algebras

29 pages

Scientific paper

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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