A family of asymptotically bad wild towers of function fields

Fuente: arXiv
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Autori principali: Chara, Maria, Toledano, Ricardo
Natura: Preprint
Pubblicazione: 2025
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author Chara, Maria
Toledano, Ricardo
author_facet Chara, Maria
Toledano, Ricardo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_12154
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A family of asymptotically bad wild towers of function fields
Chara, Maria
Toledano, Ricardo
Number Theory
Algebraic Geometry
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.
title A family of asymptotically bad wild towers of function fields
topic Number Theory
Algebraic Geometry
url https://arxiv.org/abs/2501.12154