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 ...
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.
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