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math.NT2009
Families of curves over any finite field with a class number greater than the Lachaud - Martin-Deschamps bounds
Stéphane Ballet, Robert Rolland
We study and explicitly construct some families of asymptotically exact sequences of algebraic function fields. It turns out that these families have an asymptotical class number w…
math.NT2004★ 1 cited
Descent of the Definition Field of a Tower of Function Fields and Applications
Stephane Ballet, Dominique Le Brigand, Robert Rolland
Let us consider an algebraic function field defined over a finite Galois extension of a perfect field . We give some conditions allowing the descent of the definition field…