39 citations · 58 across the 5 of their papers we have counts for
7 papers
Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory
Yves Aubry, Wouter Castryck, Sudhir R. Ghorpade +3
We consider the question of determining the maximum number of -rational points that can lie on a hypersurface of a given degree in a weighted projective space over th…
On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius
Gilles Lachaud
The purpose of this article is to study the distribution of the trace on the unitary symplectic group. We recall its relevance to equidistribution results for the eigenvalues of th…
On the Number of Points of Algebraic Sets over Finite Fields
Gilles Lachaud, Robert Rolland
We determine upper bounds on the number of rational points of an affine or projective algebraic set defined over an extension of a finite field by a system of polynomial equations,…
Number of points on abelian and Jacobian varieties over finite fields
Yves Aubry, Safia Haloui, Gilles Lachaud
We give upper and lower bounds on the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas fo…
Étale cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields
Sudhir R. Ghorpade, Gilles Lachaud
We prove a general inequality for estimating the number of points of arbitrary complete intersections over a finite field. This extends a result of Deligne for nonsingular complete…
Jacobians among Abelian threefolds: a formula of Klein and a question of Serre
Gilles Lachaud, Christophe Ritzenthaler, Alexey Zykin
Let k be a field and f be a Siegel modular form of weight h \geq 0 and genus g>1 over k. Using f, we define an invariant of the k-isomorphism class of a principally polarized abeli…