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arXiv · 1506.02437

Descent of algebraic cycles

Johannes Anschütz
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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.

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Johannes Anschütz. 2015-06-08. Descent of algebraic cycles. https://arxiv.org/abs/1506.02437

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