Abstract
On an algebraic varietyY ⊂ ℙ N we will call complete intersection a 0-cycle when it is the intersection of Y with a codimension n complete intersection of ℙ 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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