The Bloch-Kato conjecture for adjoint motives of modular forms ( to appear in Math . Res . Letters )

@inproceedings{Diamond2001TheBC,
  title={The Bloch-Kato conjecture for adjoint motives of modular forms ( to appear in Math . Res . Letters )},
  author={Fred Diamond and Matthias Flach and Li Guo},
  year={2001}
}
The Tamagawa number conjecture of Bloch and Kato describes the behavior at integers of the L-function associated to a motive over Q. Let f be a newform of weight k ≥ 2, level N with coefficients in a number field K. Let M be the motive associated to f and let A be the adjoint motive of M . Let λ be a finite prime of K. We verify the λ-part of the Bloch-Kato conjecture for L(A, 0) and L(A, 1) when λ Nk! and the mod λ representation associated to f is absolutely irreducible when restricted to the… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 18 references

p-adic etale cohomology and crystalline cohomology in the semi-stable reduction

T. Tsuji
case, Invent. Math • 2000

Modular elliptic curves and Fermat’s Last Theorem

Glare Dada, Kate, Olivia Cubum
1998

The Taylor-Wiles construction and multiplicity one

F. Diamond
Invent. Math • 1997

On deformation rings and Hecke rings

F. Diamond
Annals of Math • 1996

Geometric Galois representations, in: Elliptic curves, modular forms and Fermat’s last theorem

J.-M. Fontaine, B. Mazur
1995

Lifting modular mod ` representations

F. Diamond, R. Taylor
Duke Math. J • 1994

Perrin-Riou, Autour des conjectures de Bloch et Kato: cohomologie galoisienne et valeurs de fonction L, in: Motives

B.J.-M. Fontaine
Proc. Symp. in Pure Math. 55, Part • 1994

Selmer groups for the symmetric square of an elliptic curve, Ph.D

M. Flach
1991

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