English

Transformation de Fourier homogene

Algebraic Geometry 2007-05-23 v1

Abstract

In their proof of the Drinfeld-Langlands correspondence, Frenkel, Gaitsgory and Vilonen make use of a geometric Fourier transformation. Therefore, they work either with l-adic sheaves in characteristic p>0, or with D-modules in characteristic 0. Actually, they only need to consider the Fourier transforms of homogeneous sheaves for which one expects a uniform geometric construction in any characteristic. In this note, we propose such a homogeneous geometric Fourier transformation. It extends the geometric Radon transformation which has been studied by Brylinski.

Keywords

Cite

@article{arxiv.math/0207129,
  title  = {Transformation de Fourier homogene},
  author = {Gerard Laumon},
  journal= {arXiv preprint arXiv:math/0207129},
  year   = {2007}
}

Comments

plain tex, 25 pages, in French