Hornbostel, Jens and Kings, Guido (2006) On non-commutative twisting in etale and motivic cohomology. ANNALES DE L INSTITUT FOURIER, 56 (4). pp. 1257-1279. ISSN 0373-0956,
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This article confirms a consequence of the non-abelian I wasawa main conjecture. It is proved that under a technical condition the etale cohomology groups H-1(O-K[1/S],H-i((X) over bar ,Q(p)(j))), where X -> SpecO(K)[1/S] is a smooth, projective scheme, are generated by twists of norm compatible units in a tower of number fields associated to H-i((X) over bar, Z(p) (j)). Using the "Bloch-Kato-conjecture" a similar result is proven for motivic cohomology with finite coefficients.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAIC K-THEORY; ELLIPTIC-CURVES; RINGS; CONJECTURE; OPERATIONS; etale cohomology; motivic cohomology; non-commutative Iwasawa-theory |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Guido Kings |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2021 07:59 |
| Last Modified: | 01 Mar 2021 07:59 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35062 |
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