Zero-cycles with modulus and relative $K$-theory

Rahul Gupta; Amalendu Krishna

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arXiv · 1906.08536

Zero-cycles with modulus and relative $K$-theory

Rahul Gupta·Amalendu Krishna

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Abstract

We construct a cycle class map from the higher Chow groups of 0-cycles to the relative $K$-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 $K$-theory of truncated polynomial rings over a regular semi-local ring, essentially of finite type over a characteristic zero field.

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Rahul Gupta, Amalendu Krishna. 2019-06-20. Zero-cycles with modulus and relative $K$-theory. https://arxiv.org/abs/1906.08536

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