Concept
Chow's moving lemma
In algebraic geometry, Chow's moving lemma, proved by , states: given algebraic cycles Y, Z on a nonsingular quasi-projective variety X, there is another algebraic cycle Z' on X such that Z' is rationally equivalent to Z and Y and Z' intersect properly. The lemma is one of key ingredients in developing the intersection theory, as it is used to show the uniqueness of the theory. Even if Z is an effective cycle, it is not, in general, possible to choose the cycle Z' to be effective.
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