Everywhere ramified towers of global function fields
Abstract
We consider a tower of function fields F0 < F1 < ... over a finite field such that every place of every Fi ramified in the tower and the sequence genus(Fi)/[Fi:F0] has a finite limit. We also construct a tower in which every place ramifies and the sequence Ni/[Fi:F0] has a positive limit, where Ni is the number of degree-one places of Fi. These towers answer questions posed by Stichtenoth.
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