Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

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On the Chow ring of a K3 surface


Authors: Arnaud Beauville and Claire Voisin
Translated by:
Journal: J. Algebraic Geom. 13 (2004), 417-426
DOI: https://doi.org/10.1090/S1056-3911-04-00341-8
Published electronically: January 5, 2004
MathSciNet review: 2047674
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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 [Enhancements On Off] (What's this?)

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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

DOI: https://doi.org/10.1090/S1056-3911-04-00341-8
Received by editor(s): November 21, 2001
Published electronically: January 5, 2004

American Mathematical Society