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CHERN CLASSES WITH MODULUS

Part of: Higher algebraic $K$-theory Cycles and subschemes

Published online by Cambridge University Press:  01 February 2019

RYOMEI IWASA  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-2100 Copenhagen Ø, Denmark email ryomei@math.ku.dk
WATARU KAI
Affiliation:
Mathematical Institute, Tohoku University, Aza-Aoba 6-3, Sendai 980-8578, Japan email kaiw@tohoku.ac.jp
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Abstract

In this paper, we construct Chern classes from the relative $K$-theory of modulus pairs to the relative motivic cohomology defined by Binda–Saito. An application to relative motivic cohomology of henselian dvr is given.

MSC classification

Primary: 19D10: Algebraic $K$-theory of spaces 14C35: Applications of methods of algebraic $K$-theory
Type
Article
Information
Nagoya Mathematical Journal , Volume 236: Celebrating the 60th Birthday of Shuji Saito , December 2019 , pp. 84 - 133
Copyright
© 2019 Foundation Nagoya Mathematical Journal  

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