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The Chow ring of a K3 surface

Arnaud Beauville·Claire Voisin
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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.

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Arnaud Beauville, Claire Voisin. 2001-11-13. The Chow ring of a K3 surface. https://arxiv.org/abs/math/0111146

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