中文

几何岩泽理论中的非交换主猜想

数论 2012-05-15 v2

摘要

本文综述几何背景下岩泽理论的非交换主猜想,即针对有限域上有限型分离概形的情形,如Burns与作者所陈述和证明的那样。我们还将简要评论函数域版本的主猜想。

关键词

引用

@article{arxiv.1111.1645,
  title  = {Noncommutative Main Conjectures of Geometric Iwasawa Theory},
  author = {Malte Witte},
  journal= {arXiv preprint arXiv:1111.1645},
  year   = {2012}
}

备注

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