Rational equivalence of 0-cycles on surfaces 论文

摘要

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. 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 point a t the International Congress o f 1954. A much more elementary approach was worked out by Chevalley in his seminar "Anneaux de Chow" For 0cycles on F, the most elementary definition is this: Let E"-group of permutations on n letters.