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The Kashiwara conjugation and wave-front sets of regular holonomic distributions on a complex manifold

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If a distributionu on a complex manifoldX is a solution of a regular holonomicD x-module, one shows that its wave-front sets coïncide with the characteristic variety of theD x-module generated byu. The proof relies essentially on a microlocal form of Kashiwara's conjugation functor. As a byproduct, regular holonomicE x-modules are locally embedded into the sheaf of temperate microfunctions.

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Authors and Affiliations

  1. Département de Mathématiques, Laboratoire “Analyse, Géométrie et Applications”, URA 742, Université Paris-Nord, F-93430, Villetaneuse, France

    Emmanuel Andronikof

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  1. Emmanuel Andronikof
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Oblatum 26-III-1992

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Andronikof, E. The Kashiwara conjugation and wave-front sets of regular holonomic distributions on a complex manifold. Invent Math 111, 35–49 (1993). https://doi.org/10.1007/BF01231278

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