Reciprocity for Kato-Saito idele class group with modulus

Gupta, R and Krishna, A (2022) Reciprocity for Kato-Saito idele class group with modulus. In: Journal of Algebra, 608 . pp. 487-552.

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Abstract

We introduce an étale fundamental group with modulus and construct a reciprocity homomorphism from the Kato-Saito idele class group with modulus to this fundamental group. This is the K-theoretic analogue of the reciprocity for the cycle-theoretic idele class group with modulus due to Kerz-Saito. It plays a central role in showing the isomorphism between the two idele class groups and in proving Bloch's formula for the Chow group of 0-cycles with modulus.

Item Type:	Journal Article
Publication:	Journal of Algebra
Publisher:	Academic Press Inc.
Additional Information:	The copyright for this article belongs to the Elsevier Inc.
Keywords:	Class field theory; Milnor K-groups
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	14 Jul 2022 09:17
Last Modified:	14 Jul 2022 09:17
URI:	https://eprints.iisc.ac.in/id/eprint/74404

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