Homology, Homotopy and Applications
Volume 19 (2017)
Descent of algebraic cycles
Pages: 135 – 154
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.
algebraic cycle, descent
2010 Mathematics Subject Classification