Rational equivalence of 0-cycles on surfaces

  title={Rational equivalence of 0-cycles on surfaces},
  author={David Mumford},
  journal={Journal of Mathematics of Kyoto University},
  • D. Mumford
  • Published 1969
  • Mathematics
  • Journal of Mathematics of Kyoto University
We will consider in this note 0-cycles on a complete non-singular algebraic surface F over the field C o f complex numbers. We will use the language o f schemes, and every scheme will be assumed separated and of finite type over C. In a very extensive set of papers, Severi set up and investigated the concept of rational equivalence (cf. [2], [3], [4], [5] among many others). It is not however very easy to find a precise definition in Seven's work, and there was a good deal of discussion on this… Expand
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