Finite Fields and Applications pp 148-153
Everywhere Ramified Towers of Global Function Fields
- Cite this paper as:
- Duursma I., Poonen B., Zieve M. (2004) Everywhere Ramified Towers of Global Function Fields. In: Mullen G.L., Poli A., Stichtenoth H. (eds) Finite Fields and Applications. Lecture Notes in Computer Science, vol 2948. Springer, Berlin, Heidelberg
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 limNFi/[Fi : F0] > 0, where NFi is the number of degree-1 places of Fi. These towers answer questions posed by Stichtenoth at Fq7.
Unable to display preview. Download preview PDF.