arXiv subjects

Maria Chara

Publications and source records attributed to Maria Chara.

2 recordsLinked to original sources

arXiv2025

A family of asymptotically bad wild towers of function fields

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.

math.NT↗

arXiv2014

New examples of asymptotically good Kummer type towers

In this work, we give sufficient conditions in order to have finite ramification locus in sequences of function fields defined by different kind of Kummer extensions. These conditions can be easily implemented in a computer to generate several examples. We present some new examples of asymptotically good towers of Kummer type and we show that many known examples can be obtained from our general results.

math.NT↗