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Currently displaying 1 – 2 of 2

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Tensor-triangulated categories and dualities.

Calmès, Baptiste; Hornbostel, Jens — 2009

Theory and Applications of Categories [electronic only]

On non-commutative twisting in étale and motivic cohomology

Jens Hornbostel; Guido Kings — 2006

Annales de l’institut Fourier

This article confirms a consequence of the non-abelian Iwasawa main conjecture. It is proved that under a technical condition the étale cohomology groups $H^{1} (𝒪_{K} [1 / S], H^{i} (\bar{X}, ℚ_{p} (j)))$ , where $X \to Spec 𝒪_{K} [1 / S]$ is a smooth, projective scheme, are generated by twists of norm compatible units in a tower of number fields associated to $H^{i} (\bar{X}, ℤ_{p} (j))$ . Using the “Bloch-Kato-conjecture” a similar result is proven for motivic cohomology with finite coefficients.

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