Ramification theory for varieties over a perfect field
Algebraic Geometry
2010-05-18 v2
Abstract
For an -adic sheaf on a variety of arbitrary dimension over a perfect field, we define the Swan class measuring the wild ramification as a 0-cycle class supported on the ramification locus. We prove a Lefschetz trace formula for open varieties and a generalization of the Grothendieck-Ogg-Shararevich formula using the Swan class.
Cite
@article{arxiv.math/0402010,
title = {Ramification theory for varieties over a perfect field},
author = {Kazuya Kato and Takeshi Saito},
journal= {arXiv preprint arXiv:math/0402010},
year = {2010}
}
Comments
62 pages, latex, contents changed on 05/05/16