Zero-cycles with modulus and relative $K$-theory
Algebraic Geometry
2020-05-14 v3
Abstract
We construct a cycle class map from the higher Chow groups of 0-cycles to the relative -theory of a modulus pair. We show that this induces a pro-isomorphism between the additive higher Chow groups of relative 0-cycles and relative -theory of truncated polynomial rings over a regular semi-local ring, essentially of finite type over a characteristic zero field.
Cite
@article{arxiv.1906.08536,
title = {Zero-cycles with modulus and relative $K$-theory},
author = {Rahul Gupta and Amalendu Krishna},
journal= {arXiv preprint arXiv:1906.08536},
year = {2020}
}
Comments
Minor revision, Final version, 47 pages, to appear in Annals of K-Theory