Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficiets dans un module différentiel. II. Cas des singularités régulières á plusieures variables.
We prove a comparison theorem between Fourier transform without support and and Fourier transform with compact support in the context of arithmetic -modules.
We present a panorama of comparison theorems between algebraic and analytic De Rham cohomology with algebraic connections as coefficients. These theorems have played an important role in the development of -module theory, in particular in the study of their ramification properties (irregularity...). In part I, we concentrate on the case of regular coefficients and sketch the new proof of these theorems given by F. Baldassarri and the author, which is of elementary nature and unifies the complex...