A Topological Reconstruction Theorem for $D^{\infty}$-Modules

[en] We prove that any perfect complex of $D^{\infty}-modules may be reconstructed from its holomorphic solution complex provided that we keep track of the natural topology of this last complex. This is to be compared with the reconstruction theorem for regular holonomic D-modules which follows from the well-known Riemann-Hilbert correspondence.

Disciplines :

Mathematics

Author, co-author :

Prosmans, Fabienne ; Université Paris-Nord 13 > Mathématique > Laboratoire Analyse, Géométrie et Applications (LAGA)

Schneiders, Jean-Pierre ; Université Paris-Nord 13 > Mathématique > Laboratoire Analyse, Géométrie et Applications (LAGA)

Language :

English

Title :

A Topological Reconstruction Theorem for $D^{\infty}$-Modules

Publication date :

2000

Journal title :

Duke Mathematical Journal

ISSN :

0012-7094

eISSN :

1547-7398

Publisher :

Duke University Press, Durham, United States - North Carolina

Volume :

102

Issue :

Pages :

39-86

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 04 September 2009

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Bibliography

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