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Corrigendum to the paper "Maximum number of rational points on hypersurfaces in weighted projective spaces over finite fields", Journal of Algebra and Its Applications, Vol. 24, No. 13n14, 2541015(2025)
Yves Aubry, Marc Perret
The statement of item (ii) of Proposition 3.2 of the article referenced in the title is not correct. We provide a corrected version and show that, under the assumption that $\gcd(a…
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…
Maximum number of rational points on hypersurfaces in weighted projective spaces over finite fields
Yves Aubry, Marc Perret
An upper bound for the maximum number of rational points on an hypersurface in a projective space over a finite field has been conjectured by Tsfasman and proved by Serre in 1989.…
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…