A geometric description of the class invariant homomorphism

The aim of this paper is to extend our previous results about Galois action on the torsion points of abelian varieties to the case of (finitely generated) fields of characteristic 2.

On the image of $l$ -adic Galois representations for abelian varieties of type I and II.

Banaszak, G., Gajda, W., Krasoń, P. (2007)

Documenta Mathematica

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Varieties in positive characteristic with trivial tangent bundle

V. B. Mehta, V. Srinivas (1987)

Compositio Mathematica

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Universal extensions and $p$ -adic periods of elliptic curves

Richard Crew (1990)

Compositio Mathematica

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Tamely ramified Hida theory

Assaf Goldberger, Ehud de Shalit (2002)

Annales de l’institut Fourier

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Let $J_{1}$ be the Jacobian of the modular curve associated with $Γ_{1} (N p), (p, N) = 1$ and $J_{0}$ the one associated with $Γ_{1} (N) \cap Γ_{0} (p)$ . We study $J_{1} [p - 1]$ as a Hecke and Galois-module. We relate a certain matrix of $p$ -adic periods to the infinitesimal deformation of the $U_{p}$ -operator.