On the support of complete intersection zero-cycles |
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Authors: | Bruno Fabre |
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Institution: | (1) 17 rue Victor Lemoine, 54000 Nancy, France |
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Abstract: | On an algebraic varietyY ? ? N we will call complete intersection a 0-cycle when it is the intersection of Y with a codimension n complete intersection of ? N . We consider the following problem: Let E?Y be given. Does E contain the support of a complete intersection 0-cycle? The two main theorems shown in this article give the answers in some cases: first, a negative answer for E some “big” subset of a singular irreducible algebraic variety; secondly, a positive answer for some “small” subset, on any algebraic variety. |
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