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arXiv · 2501.12154

A family of asymptotically bad wild towers of function fields

Maria Chara·Ricardo Toledano
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Abstract

In a previous work general conditions were given to prove the infiniteness of the genus of certain towers of function fields over a perfect field. It was shown that many examples where particular cases of those general results. In this paper the genus of a family of wild towers of function fields will be considered together with a result with less restrictive sufficient conditions for a wild tower to have infinite genus.

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Maria Chara, Ricardo Toledano. 2025-01-21. A family of asymptotically bad wild towers of function fields. https://arxiv.org/abs/2501.12154

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