Journal
JOURNAL OF ALGEBRA
Volume 608, Issue -, Pages 487-552Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2022.06.004
Keywords
Milnor K-groups; Class field theory
Categories
Funding
- Universitat Regensburg [SFB 1085]
Ask authors/readers for more resources
We introduce an etale fundamental group with modulus and construct a reciprocity homomorphism from the Kato-Saito idele class group with modulus, serving as a K-theoretic analogue of the reciprocity for the cycle-theoretic idele class group with modulus. It plays a central role in demonstrating the isomorphism between the two idele class groups and proving Bloch's formula for the Chow group of 0-cycles with modulus.
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
