Noncommutative Main Conjectures of Geometric Iwasawa Theory
Number Theory
2012-05-15 v2
Abstract
We give a survey on noncommutative main conjectures of Iwasawa theory in a geometric setting, i.e. for separated schemes of finite type over a finite field, as stated and proved by Burns and the author. We will also comment briefly on versions of the main conjecture for function fields.
Keywords
Cite
@article{arxiv.1111.1645,
title = {Noncommutative Main Conjectures of Geometric Iwasawa Theory},
author = {Malte Witte},
journal= {arXiv preprint arXiv:1111.1645},
year = {2012}
}
Comments
Notes from the "Instructional workshop on the noncommutative main conjectures" held in M\"unster, April 26 - 30, 2011, http://wwwmath.uni-muenster.de/u/schneider/Workshop_2011/index.html. Changes according to the suggestions of the referee, in particular, correcting the statement of Prop. 2.4 and adding more details to its proof. Accepted for publication in a Springer PROM volume