Stark–Heegner points on modular jacobians

Samit Dasgupta

Displaying similar documents to “Stark–Heegner points on modular jacobians”

The Tamagawa number conjecture of adjoint motives of modular forms

Fred Diamond, Matthias Flach, Li Guo (2004)

Annales scientifiques de l'École Normale Supérieure

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Galois representations modulo p and cohomology of Hilbert modular varieties

Mladen Dimitrov (2005)

Annales scientifiques de l'École Normale Supérieure

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Endomorphism algebras of motives attached to elliptic modular forms

Alexander F. Brown, Eknath P. Ghate (2003)

Annales de l’institut Fourier

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We study the endomorphism algebra of the motive attached to a non-CM elliptic modular cusp form. We prove that this algebra has a sub-algebra isomorphic to a certain crossed product algebra $X$ . The Tate conjecture predicts that $X$ is the full endomorphism algebra of the motive. We also investigate the Brauer class of $X$ . For example we show that if the nebentypus is real and $p$ is a prime that does not divide the level, then the local behaviour of $X$ at a place lying above $p$ is essentially...

On the Fourier coefficients of modular forms

Douglas L. Ulmer (1995)

Annales scientifiques de l'École Normale Supérieure

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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.

Analytical construction of Weil curves over function fields

Ernst-Ulrich Gekeler (1995)

Journal de théorie des nombres de Bordeaux

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