Everywhere Ramified Towers of Global Function Fields

نویسندگان

  • Iwan M. Duursma
  • Bjorn Poonen
  • Michael Zieve
چکیده

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.

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تاریخ انتشار 2003