Kerz, Moritz and Saito, Shuji (2016) CHOW GROUP OF 0-CYCLES WITH MODULUS AND HIGHER-DIMENSIONAL CLASS FIELD THEORY. DUKE MATHEMATICAL JOURNAL, 165 (15). pp. 2811-2897. ISSN 0012-7094, 1547-7398
Full text not available from this repository. (Request a copy)Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SINGULAR HOMOLOGY; ZERO-CYCLES; VARIETIES; SCHEMES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Moritz Kerz |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Apr 2019 09:36 |
| Last Modified: | 24 Apr 2019 09:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4092 |
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