Add to ORKGIn this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such that for any n > 0 there is a smooth, projective, absolutely irreducible curve over F_q of genus g ≤ C q^n without points of degree smaller than n
A classical problem in the theory of projective curves is the classification of all their possible g...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...
In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such t...
In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and...
AbstractA smooth, projective, absolutely irreducible curve of genus 19 over F2 admitting an infinite...
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to ...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
We resolve a 1983 question of Serre by constructing curves with many points of every genus over ever...
AbstractWe determine all the possible geometric genera of curves of degree d in Pr which are not con...
AbstractFor an algebraic curve X over the finite field Fq, we denote by N(X) and g(X) the number of ...
A classical problem in the theory of projective curves is the classification of all their possible g...
A classical problem in the theory of projective curves is the classification of all their possible g...
A classical problem in the theory of projective curves is the classification of all their possible g...
International audienceUsing an Euclidean approach, we prove a new upper bound for the number of clos...
A classical problem in the theory of projective curves is the classification of all their possible g...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...
In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such t...
In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and...
AbstractA smooth, projective, absolutely irreducible curve of genus 19 over F2 admitting an infinite...
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to ...
Minor revisionsFor a given genus $g \geq 1$, we give lower bounds for the maximal number of rational...
We resolve a 1983 question of Serre by constructing curves with many points of every genus over ever...
AbstractWe determine all the possible geometric genera of curves of degree d in Pr which are not con...
AbstractFor an algebraic curve X over the finite field Fq, we denote by N(X) and g(X) the number of ...
A classical problem in the theory of projective curves is the classification of all their possible g...
A classical problem in the theory of projective curves is the classification of all their possible g...
A classical problem in the theory of projective curves is the classification of all their possible g...
International audienceUsing an Euclidean approach, we prove a new upper bound for the number of clos...
A classical problem in the theory of projective curves is the classification of all their possible g...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...