Descent of algebraic cycles

We characterize universally generalizing morphisms which satisfy descent of algebraic cycles as those which are surjective with generically reduced fibres. In doing so, we introduce a naive pullback of cycles for arbitrary morphisms between noetherian schemes, which generalizes the classical pullback for flat morphisms, and then prove basic properties of this naive pullback.

Keywords

algebraic cycle, descent

2010 Mathematics Subject Classification

14C25

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Published 6 June 2017