Relative $K$-theory via 0-cycles in finite characteristic

Rahul Gupta; Amalendu Krishna

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arXiv · 1910.06630

Relative $K$-theory via 0-cycles in finite characteristic

Rahul Gupta·Amalendu Krishna

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Abstract

Let $R$ be a regular semi-local ring, essentially of finite type over an infinite perfect field of characteristic $p \ge 3$. We show that the cycle class map with modulus from an earlier work of the authors induces a pro-isomorphism between the additive higher Chow groups of relative 0-cycles and the relative $K$-theory of truncated polynomial rings over $R$. This settles the problem of equating 0-cycles with modulus and relative $K$-theory of such rings via the cycle class map.

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Rahul Gupta, Amalendu Krishna. 2019-10-15. Relative $K$-theory via 0-cycles in finite characteristic. https://arxiv.org/abs/1910.06630

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