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On the Chow ring of a K3 surface

Author(s): Arnaud Beauville; Claire Voisin
Journal: J. Algebraic Geom. 13 (2004), 417-426.
Posted: January 5, 2004
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Abstract | References | Additional information

Abstract: We show that the Chow group of $0$-cycles on a K3 surface contains a class of degree 1 with remarkable properties: any product of divisors is proportional to this class, and so is the second Chern class $c_2$.

References:

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Additional Information:

Arnaud Beauville
Affiliation: Institut Universitaire de France & Laboratoire J.-A. Dieudonné (UMR 6621 du CNRS), Université de Nice, Parc Valrose, F-06108 Nice cedex 2, France
Email: beauville@math.unice.fr

Claire Voisin
Affiliation: Institut de Mathématiques de Jussieu (UMR 7586 du CNRS), Case 247, 4 place Jussieu, F-75252 Paris cedex 05, France
Email: voisin@math.jussieu.fr

PII: S 1056-3911(04)00341-8
Received by editor(s): November 21, 2001
Posted: January 5, 2004

Journal of Algebraic Geometry
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