English

A family of asymptotically bad wild towers of function fields

Number Theory 2025-01-22 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2501.12154,
  title  = {A family of asymptotically bad wild towers of function fields},
  author = {Maria Chara and Ricardo Toledano},
  journal= {arXiv preprint arXiv:2501.12154},
  year   = {2025}
}