A family of asymptotically bad wild towers of function fields

2025/01/21 by Maria Chara, Chara, Maria, Ricardo Toledano +1
Economics, Econometrics and Finance · Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2501.12154

openalex publication_date 2025/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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