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On non-commutative twisting in étale and motivic cohomology

Hornbostel, Jens and Kings, Guido (2004) On non-commutative twisting in étale and motivic cohomology. Preprintreihe der Fakultät Mathematik 01/2004, Working Paper, Regensburg.

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Abstract

It is proved that under a technical condition the ¶etale cohomol-
ogy groups H1(OK[1=S];Hi(¹X ;Qp(j)), where X SpecOK[1=S] is
a smooth, projective scheme, are generated by twists of norm com-
patible units in a tower of number ¯elds associated to Hi(¹X; Zp(j)).
This con¯rms a consequence of the non-abelian Iwasawa main conjec-
ture. Using the $\Bloch$ -Kato-conjecture" a similar result is proven for
motivic cohomology with ¯nite coe±cients.

Item Type:	Monograph (Working Paper)
Institutions:	Mathematics > Prof. Dr. Guido Kings
Subjects:	500 Science > 510 Mathematics
Status:	Unknown
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Owner:	Universitätsbibliothek Regensburg
Deposited On:	12 Apr 2010 07:45
Last Modified:	06 Sep 2011 11:47
Item ID:	14144

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