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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Fred Diamond, Matthias Flach, Li Guo (2004)
Annales scientifiques de l'École Normale Supérieure
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Mladen Dimitrov (2005)
Annales scientifiques de l'École Normale Supérieure
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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 . The Tate conjecture predicts that is the full endomorphism algebra of the motive. We also investigate the Brauer class of . For example we show that if the nebentypus is real and is a prime that does not divide the level, then the local behaviour of at a place lying above is essentially...
Douglas L. Ulmer (1995)
Annales scientifiques de l'École Normale Supérieure
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Assaf Goldberger, Ehud de Shalit (2002)
Annales de l’institut Fourier
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Let be the Jacobian of the modular curve associated with and the one associated with . We study as a Hecke and Galois-module. We relate a certain matrix of -adic periods to the infinitesimal deformation of the -operator.
Ernst-Ulrich Gekeler (1995)
Journal de théorie des nombres de Bordeaux
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