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math.NT2014
On the Number of Rational Points of Jacobians over Finite Fields
Philippe Lebacque, Alexey Zykin
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over finite fields. These bounds turn out to be better than most of the previously kno…
math.NT2014
The K(,1)-property for marked curves over finite fields
Philippe Lebacque, Alexander Schmidt
We investigate the K(,1)-property for p of smooth, marked curves (X,T) defined over finite fields of characteristic p. We prove that (X,T) has the K(,1)-property if X is affi…