AbstractFor an algebraic curve X over the finite field Fq, we denote by N(X) and g(X) the number of Fq-rational points and genus of X, respectively. Define the asymptotic quantity A(q) by lim supg(X)→∞N(X)/g(X). In this paper, we show an improvement on the best known lower bound on A(2)
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
AbstractA smooth, projective, absolutely irreducible curve of genus 19 over F2 admitting an infinite...
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over f...
AbstractFor an algebraic curve X over the finite field Fq, we denote by N(X) and g(X) the number of ...
L'étude du nombre de points rationnels d'une courbe définie sur un corps fini se divise naturellemen...
We discuss the asymptotic behaviour of the genus and the number of rational places in towers of func...
Abstract. We resolve a 1983 question of Serre by constructing curves with many points of every genus...
AbstractWe obtain lower bounds for the asymptotic number of rational points of smooth algebraic curv...
AbstractIhara defined the quantity A(q), which is the lim sup as g approaches ∞ of the ratio Nq(g)/g...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over f...
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over f...
AbstractWe discuss the asymptotic behaviour of the genus and the number of rational places in towers...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
We provide in this paper an upper bound for the number of rational points on a curve defined over a ...
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
AbstractA smooth, projective, absolutely irreducible curve of genus 19 over F2 admitting an infinite...
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over f...
AbstractFor an algebraic curve X over the finite field Fq, we denote by N(X) and g(X) the number of ...
L'étude du nombre de points rationnels d'une courbe définie sur un corps fini se divise naturellemen...
We discuss the asymptotic behaviour of the genus and the number of rational places in towers of func...
Abstract. We resolve a 1983 question of Serre by constructing curves with many points of every genus...
AbstractWe obtain lower bounds for the asymptotic number of rational points of smooth algebraic curv...
AbstractIhara defined the quantity A(q), which is the lim sup as g approaches ∞ of the ratio Nq(g)/g...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over f...
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over f...
AbstractWe discuss the asymptotic behaviour of the genus and the number of rational places in towers...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
We provide in this paper an upper bound for the number of rational points on a curve defined over a ...
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
AbstractA smooth, projective, absolutely irreducible curve of genus 19 over F2 admitting an infinite...
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over f...
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