Rahul Gupta, Amalendu Krishna
Published 2019-06-20Version 1
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.
Relative $K$-theory via 0-cycles in finite characteristic
On the cycle class map for zero-cycles over local fields
Cycle class maps for Chow groups of zero-cycles with modulus
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