# Correspondance d'Andreotti–Norguet et <em>D</em>-Modules

### Jean-Louis Frot

Université Pierre et Marie Curie, Paris, France

## Abstract

We calculate the integral transform of a *D*-module of rank >1, locally free outside the zero section of the cotangent space to the complex projective space ℙ_n_. This allows us to complete some results of Andreotti–Norguet and Barlet: in particular we prove that the image of the integral transform obtained by integrating holomorphic forms along the linear cycles of ℙ_n_\ℙ_n-p_-1 (where 0 < *p* < *n* - 1), is the space of holomorphic functions on the variety of cycles *Cp*(ℙ_n_\ℙ_n-p_-1) which are annihilated by a family of differential operators of order four, that we determine explicitly.

## Cite this article

Jean-Louis Frot, Correspondance d'Andreotti–Norguet et <em>D</em>-Modules. Publ. Res. Inst. Math. Sci. 35 (1999), no. 4, pp. 637–677

DOI 10.2977/PRIMS/1195143497