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arXiv · 0810.2842

Everywhere ramified towers of global function fields

Iwan Duursma·Bjorn Poonen·Michael Zieve
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Abstract

We consider a tower of function fields F_0 < F_1 < ... over a finite field such that every place of every F_i ramified in the tower and the sequence genus(F_i)/[F_i:F_0] has a finite limit. We also construct a tower in which every place ramifies and the sequence N_i/[F_i:F_0] has a positive limit, where N_i is the number of degree-one places of F_i. These towers answer questions posed by Stichtenoth.

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Iwan Duursma, Bjorn Poonen, Michael Zieve. 2008-10-16. Everywhere ramified towers of global function fields. https://arxiv.org/abs/0810.2842

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