Abstract
Let be a regular semilocal ring, essentially of finite type over an infinite perfect field of characteristic . We show that the known cycle class map from the Chow group of 0-cycles with modulus to the relative -theory induces a pro-isomorphism between the additive higher Chow groups of relative 0-cycles and the relative -theory of truncated polynomial rings over . This settles the problem of completely describing the relative -theory of such rings via the cycle class map.
Citation
Rahul Gupta. Amalendu Krishna. "Relative -theory via -cycles in finite characteristic." Ann. K-Theory 6 (4) 673 - 712, 2022. https://doi.org/10.2140/akt.2021.6.673
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