# Rational equivalence of 0-cycles on surfaces

@article{Mumford1969RationalEO, title={Rational equivalence of 0-cycles on surfaces}, author={David Mumford}, journal={Journal of Mathematics of Kyoto University}, year={1969}, volume={9}, pages={195-204} }

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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