English

Symplectic involutions of K3 surfaces act trivially on CH_0

Algebraic Geometry 2015-08-14 v1

Abstract

Symplectic involutions of a K3 surface are those involutions which leave the holomorphic 2-form invariant. We show, as predicted by Bloch's conjecture, that they act trivially on the CH_0 group of the K3 surface. This was recently proved by Huybrechts and Kemeny for one of the three types of symplectic involutions.

Keywords

Cite

@article{arxiv.1204.6684,
  title  = {Symplectic involutions of K3 surfaces act trivially on CH_0},
  author = {Claire Voisin},
  journal= {arXiv preprint arXiv:1204.6684},
  year   = {2015}
}