English

The Chow ring of a K3 surface

Algebraic Geometry 2007-05-23 v1

Abstract

Let X be a K3 surface. We show that the Chow group CH_0(X) of 0-cycles contains a "fundamental class" c_X of degree 1 with remarkable properties: any product of divisors is proportional to this class, and so is the second Chern class c_2(X). This preprint supersedes the preprint math.AG/0109063 by the first author, where the latter property was conjectured.

Keywords

Cite

@article{arxiv.math/0111146,
  title  = {The Chow ring of a K3 surface},
  author = {Arnaud Beauville and Claire Voisin},
  journal= {arXiv preprint arXiv:math/0111146},
  year   = {2007}
}

Comments

10 pages, Plain TeX. Supersedes AG/0109063

R2 v1 2026-07-22T16:41:33.774Z