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FQ
2003
Springer
13 years 10 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
13 years 10 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