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ISOMORPHISMS UP TO BOUNDED TORSION BETWEEN RELATIVE $K_{0}$-GROUPS AND CHOW GROUPS WITH MODULUS

Part of: Commutative algebra: Homological methods Cycles and subschemes

Published online by Cambridge University Press:  18 March 2020

Ryomei Iwasa Open the ORCID record for Ryomei Iwasa [Opens in a new window]  and
Wataru Kai Open the ORCID record for Wataru Kai [Opens in a new window]
Ryomei Iwasa
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100Copenhagen Ø (ryomei@math.ku.dk)
Wataru Kai
Affiliation:
Mathematical Institute, Tohoku University, Aza-Aoba 6-3, Sendai980-8578, Japan (kaiw@tohoku.ac.jp)
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Abstract

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The purpose of this note is to establish isomorphisms up to bounded torsion between relative $K_{0}$-groups and Chow groups with modulus as defined by Binda and Saito.

Keywords

algebraic K-theoryChow group with modulus

MSC classification

Primary: 13D15: Grothendieck groups, $K$-theory 14C25: Algebraic cycles 14C35: Applications of methods of algebraic $K$-theory
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 20 , Issue 6 , November 2021 , pp. 1947 - 1968
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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