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Holonomic -modules and positive characteristic

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Abstract.

We discuss a hypothetical correspondence between holonomic -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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Authors and Affiliations

  1. Institut des Hautes Études Scientifiques, 35 route de Chartres, Bures-sur-Yvette, 91440, France

    Maxim Kontsevich

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  1. Maxim Kontsevich
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Correspondence to Maxim Kontsevich.

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Communicated by: Toshiyuki Kobayashi

This article is based on the 5th Takagi Lectures that the author delivered at the University of Tokyo on October 4 and 5, 2008.

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Kontsevich, M. Holonomic -modules and positive characteristic. Jpn. J. Math. 4, 1–25 (2009). https://doi.org/10.1007/s11537-009-0852-x

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  • DOI: https://doi.org/10.1007/s11537-009-0852-x

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