2 papers
math.AG2025
Maximal curves with respect to quadratic extensions over finite fields
Yves Aubry, Fabien Herbaut, Julien Monaldi
We propose a detailed study of a canonical bound which relates the numbers of rational points of a curve over a finite field with that over its quadratic extension. Alternative pro…
math.AG2023
Closed points on curves over finite fields
Yves Aubry, Fabien Herbaut, Julien Monaldi
We are interested in the quantity (q, g) defined as the smallest positive integer such that r (q, g) implies that any absolutely irreducible smooth projective algebraic…