Séminaires : Séminaire Variétés Rationnelles

We explain that Chow’s moving lemma for algebraic cycles on smooth quasi-projective varieties has an analogue for pairs of a cycle and a homology class supported on the given cycle. This moving lemma generalizes in our setting the effacement theorem, respectively the Gersten conjecture, proven by Quillen, Bloch—Ogus, and Gabber. Several applications will be discussed.