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Article Dans Une Revue Bulletin de la société mathématique de France Année : 2004

Microlocal perverse sheaves

Résumé

We give an explicit construction of the stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Microlocal perverse sheaves will be represented as complexes of analytic ind-sheaves which have recently been studied by Kashiwara-Schapira. This description allows us to formulate the microlocal Riemann-Hilbert correspondance in order to establish an equivalence of stacks with the stack of regular holonomic microdifferential modules.

Dates et versions

hal-00011134 , version 1 (10-10-2005)

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Citer

Ingo Waschkies. Microlocal perverse sheaves. Bulletin de la société mathématique de France, 2004, 132, pp.397-462. ⟨hal-00011134⟩
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