Everywhere Ramified Towers of Global Function Fields

We construct a tower of function fields F0 ⊂ F1 ⊂ . . . over a finite field such that every place of every Fi ramifies in the tower and lim genus(Fi)/[Fi : F0] < ∞. We also construct a tower in which every place ramifies and lim NFi /[Fi : F0] > 0, where NFi is the number of degree-1 places of Fi. These towers answer questions posed by Stichtenoth at Fq7.

• Type: Conference
• Year: 2003
• Where: FQ
• Authors: Iwan M. Duursma, Bjorn Poonen, Michael Zieve
• Keywords: Fi Ramifies, FQ 2003, Function fields, Place Ramifies, Theoretical Computer Science