NEARBY CYCLES SPECIALIZATION AND D-MODULE S

Authors
LAURENT Y MALGRANGE B
Citation
Y. Laurent et B. Malgrange, NEARBY CYCLES SPECIALIZATION AND D-MODULE S, Annales de l'Institut Fourier, 45(5), 1995, pp. 1353
Citations number
37
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annales de l'Institut Fourier → ACNP
ISSN journal
03730956
Volume
45
Issue
5
Year of publication
1995
Database
ISI
SICI code
0373-0956(1995)45:5<1353:NCSADS>2.0.ZU;2-3
Abstract
This article reexamines systematically the theory of nearby cycles of holonomic D-modules. The theory is extended to complexes, and one gets an equivalence of categories between monodromic complexes and special izable complexes (the last ones, taken on the completion of D for the V-filtration). In particular, one gets the theorems of commutation wit h duality, smooth inverse images, and proper direct images which were natural to expect.