Abstract
In this paper we study general conditions to prove the infiniteness of the genus of certain towers of function fields over a perfect field. We show that many known examples of towers with infinite genus are particular cases of these conditions. In the case of tame towers we show that the infiniteness of their genus is actually equivalent to these conditions.
Citation
Maria de los Angeles CHARA. Ricardo TOLEDANO. "Asymptotically Bad Towers of Function Fields." Tokyo J. Math. 38 (2) 339 - 352, December 2015. https://doi.org/10.3836/tjm/1452806044
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