Transformation de Fourier generalisee
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
In this paper I construct a geometric transformation for generalized 1-motives which extends the Fourier-Mukai transformation for O-Modules on abelian varieties, the geometric Fourier transformation for D-Modules on vector spaces and the geometric Mellin transformation for D-Modules on tori. In particular, I construct an equivalence of triangulated categories between the derived category of quasi-coherent D-Modules on an abelian variety and the derived category of quasi-coherent O-Modules on the universal extension of the dual abelian variety. This equivalence has also been obtained by Mitchell Rothstein.
Cite
@article{arxiv.alg-geom/9603004,
title = {Transformation de Fourier generalisee},
author = {Gerard Laumon},
journal= {arXiv preprint arXiv:alg-geom/9603004},
year = {2008}
}
Comments
This is a revised version of an IHES preprint (Transformation de Fourier geometrique, IHES/85/M/52) 47 pages, no figure. PlainTeX