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Relative
$K\mkern-2mu$-theory via $0$-cycles in finite
characteristic
Rahul Gupta and Amalendu Krishna |
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Vol. 6 (2021), No. 4, 673–712
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DOI: 10.2140/akt.2021.6.673
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Abstract |
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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. |
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Keywords
algebraic cycles, additive Chow groups, relative
$K\mkern-2mu$-theory
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Mathematical Subject Classification
Primary: 14C25
Secondary: 19E08, 19E15
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Milestones
Received: 24 November 2020
Revised: 30 April 2021
Accepted: 19 May 2021
Published: 12 February 2022
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Authors |
| Rahul Gupta | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| Amalendu Krishna | |
| Department of Mathematics Indian Institute of Science Bangalore India |
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