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arXiv:0803.3663 [math.NT]AbstractReferencesReviewsResources

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

Tsuyoshi Itoh

Published 2008-03-26Version 1

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.

Comments: 7 pages
Journal: Algebraic Number Theory and Related Topics 2007, RIMS K{\^o}ky{\u}roku Bessatsu B12 (2009), 173--182
Categories: math.NT
Subjects: 11R58, 11R23
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