ANDREOTTI-NORGUET CORRESPONDENCE AND D-MODULES

Authors
Citation
Jl. Frot, ANDREOTTI-NORGUET CORRESPONDENCE AND D-MODULES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(4), 1997, pp. 361-364
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
325
Issue
4
Year of publication
1997
Pages
361 - 364
Database
ISI
SICI code
0764-4442(1997)325:4<361:ACAD>2.0.ZU;2-G
Abstract
Using D-modules formalism and an adjunction formula of D'Agnolo-Schapi ra [4], we interpret some classical results of Andreotti-Norguet (see [1] and [2]), and of Barlet (see [4]). This allows us to prove that th e image of the integral transform obtained by integrating on linear cy cles of P-n\Pn-p-1 (where 0 < p < n - 1), is the space of holomorphic functions on the variety of cycles C-p(P-n\Pn-p-1), which are annihila ted by a family of differential operators of order 4.