Forre, Patrick (2015) The kernel of the reciprocity map of varieties over local fields. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 698. pp. 55-69. ISSN 0075-4102, 1435-5345
Full text not available from this repository. (Request a copy)Abstract
For a smooth and proper variety X over a local field K with residue characteristic p the reciprocity map rho(X) : SK1 (X) -> pi(ab)(1) (X) is a well-defined map from its class group to the corresponding abelianized etale fundamental group of X. In this paper we show that its kernel is the direct sum of a finite group and a group which is l-divisible for all primes l not equal p. This result generalizes the work of Shuji Saito and Uwe Jannsen for curves and surfaces to arbitrary dimensions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | THEOREMS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Aug 2019 12:43 |
| Last Modified: | 02 Aug 2019 12:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6357 |
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