Descent of algebraic cycles
Algebraic Geometry
2015-06-09 v1
Abstract
We characterize universally generalizing morphisms which satisfy descent of algebraic cycles integrally as those universally generalizing morphisms which are surjective with generically reduced fibres. In doing so, we introduce a naive pull-back of cycles for arbitrary morphisms between noetherian schemes, which generalizes the classical pull-back for flat morphisms, and then prove basic properties of this naive pull-back.
Cite
@article{arxiv.1506.02437,
title = {Descent of algebraic cycles},
author = {Johannes Anschütz},
journal= {arXiv preprint arXiv:1506.02437},
year = {2015}
}