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A family of asymptotically bad wild towers of function fields

Published 21 Jan 2025 in math.NT and math.AG | (2501.12154v1)

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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