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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Official URL: https://doi.org/10.1016/j.jalgebra.2022.06.004
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 |
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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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