Kerz, Moritz ; Saito, Shuji
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Duke Mathematical Journal |
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| Verlag: | DUKE UNIV PRESS |
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| Ort der Veröffentlichung: | DURHAM |
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| Band: | 165 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 15 |
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| Seitenbereich: | S. 2811-2897 |
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| Datum: | 2016 |
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| Institutionen: | Mathematik > Prof. Dr. Moritz Kerz |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1215/00127094-3644902 | DOI |
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| Stichwörter / Keywords: | SINGULAR HOMOLOGY; ZERO-CYCLES; VARIETIES; SCHEMES; |
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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: | 42910 |
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Zusammenfassung
One of the main results of this article is a proof of the rank-one case of an existence conjecture on lisse (Q) over bar (l)-sheaves on a smooth variety U over a finite field due to Deligne and Drinfeld. The problem is translated into the language of higher-dimensional class field theory over finite fields, which describes the abelian fundamental group of U by Chow groups of 0-cycles with moduli. ...
Zusammenfassung
One of the main results of this article is a proof of the rank-one case of an existence conjecture on lisse (Q) over bar (l)-sheaves on a smooth variety U over a finite field due to Deligne and Drinfeld. The problem is translated into the language of higher-dimensional class field theory over finite fields, which describes the abelian fundamental group of U by Chow groups of 0-cycles with moduli. A key ingredient is the construction of a cycle-theoretic avatar of a refined Artin conductor in ramification theory originally studied by Kazuya Kato.
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