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arXiv · 2211.15911

Space of one cycles and coniveau filtrations

Zhiyu Tian
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Abstract

We prove a structural result about the space of one cycles of a separably rationally connected variety or a separably rationally connected fibration over a curve, either as a topological group or as an h-sheaf. This has the following consequences: a proof that the strong coniveau filtration agrees with the coniveau filtration on degree 3 homology, and a result on the integral Tate conjecture for homologically trivial one cycles.

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Zhiyu Tian. 2022-11-29. Space of one cycles and coniveau filtrations. https://arxiv.org/abs/2211.15911

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