Japanese Journal of Mathematics

, Volume 4, Issue 1, pp 1–25

Holonomic Open image in new window-modules and positive characteristic


DOI: 10.1007/s11537-009-0852-x

Cite this article as:
Kontsevich, M. Jpn. J. Math. (2009) 4: 1. doi:10.1007/s11537-009-0852-x


We discuss a hypothetical correspondence between holonomic Open image in new window-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.

Keywords and phrases:

rings of differential operators and their modules characteristic p methods 

Mathematics Subject Classification (2000):

13N10 13A35 

Copyright information

© The Mathematical Society of Japan and Springer Japan 2009

Authors and Affiliations

  1. 1.Institut des Hautes Études ScientifiquesBures-sur-YvetteFrance

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