277 citations · 793 across the 50 of their papers we have counts for
56 papers
Reduction mod. 2 of del Pezzo lattices
Arnaud Beauville
For an even lattice L , the form v --> (v.v)/2 induces a quadratic form q on the (Z/2)-vector space L/2L . For the lattices associated to some particular root systems, we show that…
Quotients of Jacobians
Arnaud Beauville
Let C be a curve of genus g, and G a finite group of automorphisms of C . We prove that for g > 20 the quotient JC/G has canonical singularities, hence Kodaira dimension 0. On the…
Even sets of nodes and Gauss genus theory
Arnaud Beauville
We observe that a lemma used in the study of even sets of nodes on surfaces applies almost verbatim to prove a celebrated formula of Gauss on the 2-torsion of the class group of a…
A non-hyperelliptic curve with torsion Ceresa cycle modulo algebraic equivalence
Arnaud Beauville, Chad Schoen
We exhibit a non-hyperelliptic curve C of genus 3 such that the class of the Ceresa cycle [C]-[(-1)*C] in JC modulo algebraic equivalence is torsion.
A non-hyperelliptic curve with torsion Ceresa class
Arnaud Beauville
We exhibit a non-hyperelliptic curve C of genus 3 such that the class of the Ceresa cycle [C]-[-C] in the intermediate Jacobian of JC is torsion.
A remark on the generalized Franchetta conjecture for K3 surfaces
Arnaud Beauville
A family of K3 surfaces has the \emph{Franchetta property} if the Chow group of 0-cycles on the generic fiber is cyclic. The generalized Franchetta conje…