3 citations · 5 across the 6 of their papers we have counts for
6 papers
On the Chow ring of very general abelian varieties and a question of Pirola
Claire Voisin
We prove that for a very general abelian variety of dimension , a divisor that satisfies in is of torsion. The same result is a…
Universally defined cycles I
Claire Voisin
We introduce and study the notion of universally defined cycles of smooth varieties of dimension , and prove that they are given by polynomials in the Chern classes. A similar r…
On the smoothability problem with rational coefficients
Olivier Benoist, Claire Voisin
We consider the problem of smoothing algebraic cycles with rational coefficients on smooth projective complex varieties up to homological equivalence. We show that a solution to th…
Flat pushforwards of Chern classes and the smoothability of cycles below the middle dimension
János Kollár, Claire Voisin
We prove in this paper the smoothability of cycles modulo rational equivalence in the Whitney range, that is, when the dimension is strictly smaller than the codimension. We introd…
Chow rings and gonality of general abelian varieties
Claire Voisin
We study the (covering) gonality of abelian varieties and their orbits of zero-cycles for rational equivalence. We show that any orbit for rational equivalence of zero-cycles of de…
Curves and cycles on K3 surfaces
Daniel Huybrechts, Claire Voisin
The notion of constant cycle curves on K3 surfaces is introduced. These are curves that do not contribute to the Chow group of the ambient K3 surface. Rational curves are the most…