Serre's conjecture on Galois representations attached to Weil curves with additive reduction

Lario, Joan-C.

Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 247-255

MR Zbl

@incollection{AST_1992__209__247_0,
     author = {Lario, Joan-C.},
     title = {Serre's conjecture on {Galois} representations attached to {Weil} curves with additive reduction},
     booktitle = {Journ\'ees arithm\'etiques de Gen\`eve - 9-13 septembre 1991},
     editor = {Coray D. F. and P\'etermann Y.-F. S},
     series = {Ast\'erisque},
     pages = {247--255},
     year = {1992},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {209},
     mrnumber = {1211018},
     zbl = {0822.11036},
     language = {en},
     url = {https://www.numdam.org/item/AST_1992__209__247_0/}
}

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BT  - Journées arithmétiques de Genève - 9-13 septembre 1991
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ED  - Coray D. F.
ED  - Pétermann Y.-F. S
T3  - Astérisque
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PB  - Société mathématique de France
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%T Serre's conjecture on Galois representations attached to Weil curves with additive reduction
%B Journées arithmétiques de Genève - 9-13 septembre 1991
%A Collectif
%E Coray D. F.
%E Pétermann Y.-F. S
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%D 1992
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%N 209
%I Société mathématique de France
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%F AST_1992__209__247_0

Lario, Joan-C. Serre's conjecture on Galois representations attached to Weil curves with additive reduction, dans Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 247-255. https://www.numdam.org/item/AST_1992__209__247_0/

Bibliographie
Cité par

[Ba-La91] Bayer, P; Lario, J. C. (1991). Galois representations defined by torsion points of modular elliptic curves. To appear in Compositio Math. | MR | Zbl | EuDML | Numdam

[Ca86] Carayol, H. (1986). Sur les représentations $ℓ$ -adiques associées aux formes modulaires de Hilbert. Ann. Sci. École Nor. Sup., 19, 409-468. | MR | Zbl | EuDML | Numdam | DOI

[Cr91] Cremona, J. E. (1991). Computation of modular elliptic curves and the Birch-Swinerton-Dyer conjecture. University of Exeter, preprint.

[Ed89] Edixhoven, B. (1989). Stable models of modular curves and applications. Faculteit der Wiskunde en Informatica. Rijksuniversiteit te Utrecht. Thesis.

[Ed-Gr-To90] Edixhoven, B.; De Groot, A.; Top, J. (1990). Elliptic curves over the rationals with bad reduction at only one prime. Math. of Computation, 54, 413-419. | MR | Zbl | DOI

[Gr90] Gross, B. H. (1990). A tameness criterion for Galois representations associated to modular forms. Duke Math. Journal, 61, 445-517. | MR | Zbl | DOI

[Hi-Pi-She90] Hijikata, H.; Pizer, A.; Shemanske, T. (1990). Twist of newforms. | MR | Zbl | DOI

[Hu87] Husemöller, D. (1987). Elliptic Curves. GTM Springer-Verlag, 111. | MR | Zbl

[Jo-Li89] Jordan, B.; Livné, R. (1989). Conjecture "epsilon" for weight $k > 2$ . Bull. of the AMS, 21, 51-56. | MR | Zbl | DOI

[La91] Lario, J. C. (1991). Representacions de Galois i corbes el.líptiques. Universitat de Barcelona. Thesis.

[Li75] Li, W. (1975). Newforms and functional equations. Math. Ann., 212, 285-315. | MR | Zbl | EuDML | DOI

[Se87] Serre, J.-P. (1987). Sur les représentations modulaires de degré $2$ de $Gal (\bar{ℚ} / Q)$ . Duke Math. Journal, 54, 179-230. | MR | Zbl | DOI

[Ma78] Mazur, B. (1978). Rational isogenies of prime degree. Invent. Math., 44, 129-162. | MR | Zbl | EuDML | DOI

[Ta75] Tate, J. (1975). Algorithm for determining the type of a singular fiber in an elliptic pencil. Springer LN in Math., 476, 33-52. | MR | Zbl