• The Chow ring of a singular surface

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/108/03/0227-0249

    • Keywords

       

      Chow ring; singular surface; Chern class maps

    • Abstract

       

      We construct the Chow ringCH*(X) =CH0(X)⊕CH1(X)⊕CH2(X) of a reduced, quasi-projective surfaceX, together with Chern class mapsci :K0(X) → CHi(X), with the usual properties. As a consequence, we show that the cycle mapCH2(X)→ F0K0(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 Our treatment is greatly influenced by an unpublished 1983 preprint of Levine’s, but is much simpler, since we deal only with surfaces.

    • Author Affiliations

       

      J G Biswas1 V Srinivas1

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

       
  • Proceedings – Mathematical Sciences | News

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