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The Chow ring of a singular surface

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Abstract

We construct the Chow ringCH*(X) =CH 0 (X)⊕CH 1 (X)⊕CH 2 (X) of a reduced, quasi-projective surfaceX, together with Chern class mapsc i :K 0 (X) → CH i (X), with the usual properties. As a consequence, we show that the cycle mapCH 2 (X)→ F 0 K 0 (X) is an isomorphism. Our treatment is greatly influenced by an unpublished 1983 preprint of Levine’s, but is much simpler, since we deal only with surfaces.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Mumbai, India

    J. G. Biswas & V. Srinivas

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  1. J. G. Biswas
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  2. V. Srinivas
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Correspondence to J. G. Biswas.

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Biswas, J.G., Srinivas, V. The Chow ring of a singular surface. Proc. Indian Acad. Sci. (Math. Sci.) 108, 227–249 (1998). https://doi.org/10.1007/BF02844480

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  • DOI: https://doi.org/10.1007/BF02844480

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