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FQ
2003
Springer
14 years 4 months ago
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...
Iwan M. Duursma, Bjorn Poonen, Michael Zieve
FQ
2003
Springer
14 years 4 months ago
Symplectic Spreads and Permutation Polynomials
Every symplectic spread of PG(3, q), or equivalently every ovoid of Q(4, q), is shown to give a certain family of permutation polynomials of GF(q) and conversely. This leads to an...
Simeon Ball, Michael Zieve