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Euler system for Galois deformations

Tadashi Ochiai (2005)

Annales de l’institut Fourier

In this paper, we develop the Euler system theory for Galois deformations. By applying this theory to the Beilinson-Kato Euler system for Hida’s nearly ordinary modular deformations, we prove one of the inequalities predicted by the two-variable Iwasawa main conjecture. Our method of the proof of the Euler system theory is based on non-arithmetic specializations. This gives a new simplified proof of the inequality between the characteristic ideal of the Selmer group of a Galois deformation and the...

Existence of nonelliptic mod $ℓ$ Galois representations for every $ℓ > 5$ .

Dieulefait, Luis (2004)

Experimental Mathematics

Experimental indications of three-dimensional Galois representations from the cohomology of $SL (3, ℤ)$ .

Ash, Avner, McConnell, Mark (1992)

Experimental Mathematics

Explicit determination of the images of the Galois representations attached to abelian surfaces with $End (A) = ℤ$ .

Dieulefait, Luis V. (2002)

Experimental Mathematics

Exposants de la monodromie $p$ -adique et structure de Frobenius pour des équations différentielles

Zoghman Mebkhout (2003)

Annales de l’institut Fourier

Dans cet article nous présentons la théorie des équations différentielles $p$ -adiques et ses applications concernant le théorème de finitude de la cohomologie $p$ -adique d’une variété affine et le théorème de la monodromie $p$ -adique des représentations galoisiennes locales.

Displaying 1 – 5 of 5

Euler system for Galois deformations

Existence of nonelliptic mod ℓ Galois representations for every ℓ > 5 .

Experimental indications of three-dimensional Galois representations from the cohomology of SL ( 3 , ℤ ) .

Explicit determination of the images of the Galois representations attached to abelian surfaces with End ( A ) = ℤ .

Exposants de la monodromie p -adique et structure de Frobenius pour des équations différentielles

Currently displaying 1 – 5 of 5

Existence of nonelliptic mod $ℓ$ Galois representations for every $ℓ > 5$ .

Experimental indications of three-dimensional Galois representations from the cohomology of $SL (3, ℤ)$ .

Explicit determination of the images of the Galois representations attached to abelian surfaces with $End (A) = ℤ$ .

Exposants de la monodromie $p$ -adique et structure de Frobenius pour des équations différentielles