Unramified extensions and geometric $\mathbb{Z}_p$-extensions of global function fields

Tsuyoshi Itoh

Unramified extensions and geometric $\mathbb{Z}_p$-extensions of global function fields

Number Theory 2010-10-27 v1

Authors: Tsuyoshi Itoh

Abstract

We study on finite unramified extensions of global function fields (function fields of one valuable over a finite field). We show two results. One is an extension of Perret's result about the ideal class group problem. Another is a construction of a geometric $\mathbb{Z}_p$ -extension which has a certain property.

Keywords

fields valued field extension theorems

Cite

@article{arxiv.0803.3663,
  title  = {Unramified extensions and geometric $\mathbb{Z}_p$-extensions of global function fields},
  author = {Tsuyoshi Itoh},
  journal= {arXiv preprint arXiv:0803.3663},
  year   = {2010}
}

Comments

7 pages

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