Everywhere ramified towers of global function fields

Details Everywhere ramified towers of global function fields Everywhere ramified towers of global function fields

2008-10-16

arxiv.org/abs/0810.2842v1

Finite Fields and Applications, Springer Lecture Notes in Computer Science 2948 (2004), 148--153

Mathematics

Number Theory

5 pages. This paper was published in 2004. I post it now for greater accessibility

Scientific paper

We consider a tower of function fields F_0 < F_1 < ... over a finite field such that every place of every F_i ramified in the tower and the sequence genus(F_i)/[F_i:F_0] has a finite limit. We also construct a tower in which every place ramifies and the sequence N_i/[F_i:F_0] has a positive limit, where N_i is the number of degree-one places of F_i. These towers answer questions posed by Stichtenoth.

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