4 papers
Unboundedness of zero-cycles on higher dimensional Fano manifolds
Claire Voisin
We show that, unlike del Pezzo surfaces, higher dimensional Fano manifolds do not satisfy in general boundedness properties for their group of -cycles. For example,…
Rank 2 vector bundles and degrees of points of del Pezzo surfaces
Claire Voisin
We study points and 0-cycles on del Pezzo surfaces defined over a field K of characteristic 0, with emphasis on cubic surfaces. We prove that a cubic surface that admits a point de…
Varieties with representable CH_0-group and a question of Colliot-Thélène
Claire Voisin
We continue our investigation of the geometry of the Albanese morphism on 0-cycles. We provide an example of a smooth projective variety with representable CH_0-group but with no u…
Symmetric tensors on the intersection of two quadrics and Lagrangian fibration
A. Beauville, A. Etesse, A. Höring +2
Let X be a n-dimensional (smooth) intersection of two quadrics, and let T*X be its cotangent bundle. We show that the algebra of symmetric tensors on X is a polynomial algebra in n…