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arXiv · 1504.08181

de Rham-Witt sheaves via algebraic cycles

Amalendu Krishna·Jinhyun Park·with an appendix by Kay Rülling
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Abstract

We show that the additive higher Chow groups of regular schemes over a field induce a Zariski sheaf of pro-differential graded algebras, whose Milnor range is isomorphic to the Zariski sheaf of big de Rham-Witt complexes. This provides an explicit cycle-theoretic description of the big de Rham-Witt sheaves. Several applications are derived.

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Amalendu Krishna, Jinhyun Park, with an appendix by Kay Rülling. 2015-04-30. de Rham-Witt sheaves via algebraic cycles. https://arxiv.org/abs/1504.08181

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