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

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

2008-03-26

arxiv.org/abs/0803.3663v1

Algebraic Number Theory and Related Topics 2007, RIMS K{\^o}ky{\u}roku Bessatsu B12 (2009), 173--182

Mathematics

Number Theory

7 pages

Scientific paper

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.

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