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FQ
2003
Springer

Everywhere Ramified Towers of Global Function Fields

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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.
Iwan M. Duursma, Bjorn Poonen, Michael Zieve
Added 06 Jul 2010
Updated 06 Jul 2010
Type Conference
Year 2003
Where FQ
Authors Iwan M. Duursma, Bjorn Poonen, Michael Zieve
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