Curves over higher local fields
Number Theory
2008-02-26 v1 Algebraic Geometry
Abstract
In this work, we prove the vanishing of the two cohomological group of the higher local field. This generalize the well-known propriety of finite field and one dimensional local field. We apply this result to study the arithmetic of curve defined over higher local field.
Keywords
Cite
@article{arxiv.0802.3657,
title = {Curves over higher local fields},
author = {Belgacem Draouil},
journal= {arXiv preprint arXiv:0802.3657},
year = {2008}
}