On non-commutative twisting in etale and motivic cohomology

Details On non-commutative twisting in etale and motivic cohomology On non-commutative twisting in etale and motivic cohomology

2004-04-14

arxiv.org/abs/math/0404263v2

Ann. Inst. Fourier, 56 (2006) 1257-1279

Mathematics

Number Theory

22 pages

Scientific paper

In this paper we use ideas of the non-abelian Iwasawa main conjecture to prove a result about the first Galois cohomology of continuous Galois modules V_p(j) for large Tate-twist j and V_p a Q_p vector space. We show that under a technical hypothesis that H^1(K, V_p(j)) is generated by twists of norm-compatible units in an infinite tower of number fields with elements in V_p(j-1). This confirms a consequence of the non-abelian Iwasawa main conjecture. Using the "Bloch-Kato-conjecture" a similar result is proven for motivic cohomology with finite coefficients.

Affiliated with

Also associated with

No associations

Rating

On non-commutative twisting in etale and motivic cohomology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On non-commutative twisting in etale and motivic cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On non-commutative twisting in etale and motivic cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-9999