The rank of étale cohomology of varieties over $p$-adic or number fields

C. Soulé

Displaying similar documents to “The rank of étale cohomology of varieties over $p$ -adic or number fields”

De Rham cohomology of affinoid spaces

Marius Van der Put (1990)

Compositio Mathematica

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Cohomology of finite groups of Lie type, I

Edward Cline, Brian Parshall, Leonard Scott (1975)

Publications Mathématiques de l'IHÉS

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Vanishing criteria and the Picard group for projective varieties of low codimension

Robert Speiser (1980)

Compositio Mathematica

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$p$ -adic etale cohomology

Spencer Bloch, Kazuya Kato (1986)

Publications Mathématiques de l'IHÉS

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$p$ -adic representations arising from descent on abelian varieties

Michael Harris (1979)

Compositio Mathematica

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On non-commutative twisting in étale and motivic cohomology

Jens Hornbostel, Guido Kings (2006)

Annales de l’institut Fourier

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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.

A general embedding theorem in formal geometry

Audun Holme (1973)

Compositio Mathematica

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Displaying similar documents to “The rank of étale cohomology of varieties over p -adic or number fields”

De Rham cohomology of affinoid spaces

Cohomology of finite groups of Lie type, I

Vanishing criteria and the Picard group for projective varieties of low codimension

p -adic etale cohomology

p -adic representations arising from descent on abelian varieties

On non-commutative twisting in étale and motivic cohomology

A general embedding theorem in formal geometry

Displaying similar documents to “The rank of étale cohomology of varieties over $p$ -adic or number fields”

$p$ -adic etale cohomology

$p$ -adic representations arising from descent on abelian varieties