p-adic deformations of cohomology classes of subgroups of GL (N,Z).

Avner Ash; Glenn Stevens

Displaying similar documents to “p-adic deformations of cohomology classes of subgroups of GL (N,Z).”

On arithmetic quotients of the Siegel upper half space of degree two

Joachim Schwermer (1986)

Compositio Mathematica

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Control theorems of $p$ -nearly ordinary cohomology groups for $SL (n)$

Haruzo Hida (1995)

Bulletin de la Société Mathématique de France

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The cohomology of Monsky and Washnitzer

Marius van der Put (1986)

Mémoires de la Société Mathématique de France

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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.

$p$ -adic ordinary Hecke algebras for $GL (2)$

Haruzo Hida (1994)

Annales de l'institut Fourier

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We study the $p$ -adic nearly ordinary Hecke algebra for cohomological modular forms on $G L (2)$ over an arbitrary number field $F$ . We prove the control theorem and the independence of the Hecke algebra from the weight. Thus the Hecke algebra is finite over the Iwasawa algebra of the maximal split torus and behaves well under specialization with respect to weight and $p$ -power level. This shows the existence and the uniqueness of the (nearly ordinary) $p$ -adic analytic family of cohomological Hecke...

Cup products, duality and periodicity for generalized group cohomology

Marton Harris (1970)

Fundamenta Mathematicae

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The $n$ -cohomology of representations with an infinitesimal character

William Casselman, M. Scott Osborne (1975)

Compositio Mathematica

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Displaying similar documents to “p-adic deformations of cohomology classes of subgroups of GL (N,Z).”

On arithmetic quotients of the Siegel upper half space of degree two

Control theorems of p -nearly ordinary cohomology groups for SL ( n )

The cohomology of Monsky and Washnitzer

On non-commutative twisting in étale and motivic cohomology

p -adic ordinary Hecke algebras for GL ( 2 )

Cup products, duality and periodicity for generalized group cohomology

The n -cohomology of representations with an infinitesimal character

Control theorems of $p$ -nearly ordinary cohomology groups for $SL (n)$

$p$ -adic ordinary Hecke algebras for $GL (2)$

The $n$ -cohomology of representations with an infinitesimal character