Analyse micro-locale l-adique en caracteristique p>0: Le cas d'un trait
Algebraic Geometry
2010-05-18 v3 Number Theory
Abstract
We develop, for an l-adic etale sheaf on a complete trait of characteristic p>0, the notion of characteristic variety. Our approach, inspired by the microlocal analysis of Kashiwara and Schapira, is a complement to our ramification theory for local fields with general residue fields. We formulate the main property that should be satisfied by the characteristic variety (the isogeny conjecture), and prove it for rank one sheaves unconditionally on the trait, or unconditionally on the sheaf if the residue field of the trait is perfect.
Keywords
Cite
@article{arxiv.math/0602285,
title = {Analyse micro-locale l-adique en caracteristique p>0: Le cas d'un trait},
author = {Ahmed Abbes and Takeshi Saito},
journal= {arXiv preprint arXiv:math/0602285},
year = {2010}
}
Comments
36 pages, LaTeX; Modified contents mostly in Premiere partie, 36 pages, Latex; Minor change, adding a little more detail etc