A note on cubical Bloch--Levine cycle complexes
Algebraic Geometry
2026-07-01 v1
Abstract
We check that Levine's simplicial--cubical comparison argument for Bloch's cycle complexes also works over an arbitrary DVR. As a result, the sheaf of cubical Bloch cycle complexes computes motivic cohomology for smooth schemes over Dedekind bases.
Cite
@article{arxiv.2607.01540,
title = {A note on cubical Bloch--Levine cycle complexes},
author = {Peter Xu},
journal= {arXiv preprint arXiv:2607.01540},
year = {2026}
}