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Albanese homomorphism of the Chow group of 0-cycles of a real Algebraic variety

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Abstract

We study a certain homomorphism of the Chow group of 0-cycles of degree zero of a real algebraic variety into the group of real points of the Albanese variety; this homomorphism is obtained from the Albanese mapping for the corresponding variety. The kernel of this homomorphism is calculated and estimates for the kernel of the mapping of the torsion groups are obtained.

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Authors and Affiliations

  1. Yaroslavl State University, USSR

    V. A. Krasnov

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  1. V. A. Krasnov
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Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 76–83, January, 1999.

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Krasnov, V.A. Albanese homomorphism of the Chow group of 0-cycles of a real Algebraic variety. Math Notes 65, 64–69 (1999). https://doi.org/10.1007/BF02675011

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  • DOI: https://doi.org/10.1007/BF02675011

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