Gupta, Rahul and Krishna, Amalendu (2022) Reciprocity for Kato-Saito idele class group with modulus. JOURNAL OF ALGEBRA, 608. pp. 487-552. ISSN 0021-8693, 1090-266X
Full text not available from this repository. (Request a copy)Abstract
We introduce an etale 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.(c) 2022 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MILNOR K-THEORY; RAMIFICATION; 0-CYCLES; RINGS; Milnor K-groups; Class field theory |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Jan 2024 13:37 |
| Last Modified: | 31 Jan 2024 13:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57535 |
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