de Rham-Witt sheaves via algebraic cycles
Algebraic Geometry
2021-01-25 v7 K-Theory and Homology
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.
Cite
@article{arxiv.1504.08181,
title = {de Rham-Witt sheaves via algebraic cycles},
author = {Amalendu Krishna and Jinhyun Park and with an appendix by Kay Rülling},
journal= {arXiv preprint arXiv:1504.08181},
year = {2021}
}
Comments
v7: final version, accepted to appear in Compositio Math. N.B. This version may not yet be identical to the official published version due to copyright reason. However there is no change in mathematical contents