Gupta, Rahul ; Krishna, Amalendu
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Journal of Algebra |
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| Verlag: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
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| Ort der Veröffentlichung: | SAN DIEGO |
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| Band: | 608 |
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| Seitenbereich: | S. 487-552 |
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| Datum: | 2022 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1016/j.jalgebra.2022.06.004 | DOI |
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| Stichwörter / Keywords: | MILNOR K-THEORY; RAMIFICATION; 0-CYCLES; RINGS; Milnor K-groups; Class field theory |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 57188 |
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Zusammenfassung
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 ...
Zusammenfassung
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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