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Lifting modular $\mod \ell$ representations
Fred Diamond and Richard Taylor
Source: Duke Math. J. Volume 74, Number 2 (1994), 253-269.
First Page PDF: View first page of article (PDF, 107 KB)Primary Subjects: 11F33
Secondary Subjects: 11F80, 11G18, 11S37
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288201
Mathematical Reviews number (MathSciNet):
MR1272977
Zentralblatt MATH identifier:
0809.11025
Digital Object Identifier: doi:10.1215/S0012-7094-94-07413-9
References
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Mathematical Reviews (MathSciNet):
MR88h:11036
Zentralblatt MATH:
0618.10026
Digital Object Identifier: doi:10.1215/S0012-7094-86-05346-9
Project Euclid: euclid.dmj/1077305204
[C] H. Carayol, Sur les représentations galoisiennes modulo $l$ attachées aux formes modulaires, Duke Math. J. 59 (1989), no. 3, 785–801.
Mathematical Reviews (MathSciNet):
MR91b:11058
Zentralblatt MATH:
0703.11027
Digital Object Identifier: doi:10.1215/S0012-7094-89-05937-1
Project Euclid: euclid.dmj/1077308170
[D] Fred Diamond, Congruence primes for cusp forms of weight $k\ge 2$, Astérisque (1991), no. 196-197, 6, 205–213 (1992).
Mathematical Reviews (MathSciNet):
MR93b:11051
Zentralblatt MATH:
0783.11022
[DT] F. Diamond and R. Taylor, Non-optimal levels for $\mod l$ modular representations of $\mathrm Gal(\overline\mathbbQ/\mathbbQ)$, to appear in Invent. Math.
Mathematical Reviews (MathSciNet):
MR1262939
Digital Object Identifier: doi:10.1007/BF01231768
[F] G. Faltings, Crystalline cohomology and $p$-adic Galois-representations, Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988), Johns Hopkins Univ. Press, Baltimore, MD, 1989, pp. 25–80.
Mathematical Reviews (MathSciNet):
MR98k:14025
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0805.14008
[FL] J.-M. Fontaine and G. Laffaille, Construction de représentations $p$-adiques, Ann. Sci. École Norm. Sup. (4) 15 (1982), no. 4, 547–608 (1983).
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[G] P. Gerardin, Facteurs locaux des algèbres simples de rang $4$. I, Reductive groups and automorphic forms, I (Paris, 1976/1977), Publ. Math. Univ. Paris VII, vol. 1, Univ. Paris VII, Paris, 1978, pp. 37–77.
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[JL] H. Jacquet and R. P. Langlands, Automorphic forms on $\rm GL(2)$, Lecture Notes in Mathematics, vol. 114, Springer-Verlag, Berlin, 1970.
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[R1] K. A. Ribet, Congruence relations between modular forms, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), PWN, Warsaw, 1984, pp. 503–514.
Mathematical Reviews (MathSciNet):
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Zentralblatt MATH:
0575.10024
[R2] K. A. Ribet, On modular representations of $\rm Gal(\overline\bf Q/\bf Q)$ arising from modular forms, Invent. Math. 100 (1990), no. 2, 431–476.
Mathematical Reviews (MathSciNet):
MR91g:11066
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0773.11039
Digital Object Identifier: doi:10.1007/BF01231195
[R3] K. A. Ribet, Report on $\mod l$ representations of $\mathrm Gal(\overline\mathbbQ/\mathbbQ)$, to appear in proc. of the motives conference, Seattle, 1991.
[S1] J.-P. Serre, Sur les représentations modulaires de degré $2$ de $\rm Gal(\overline\bf Q/\bf Q)$, Duke Math. J. 54 (1987), no. 1, 179–230.
Mathematical Reviews (MathSciNet):
MR88g:11022
Zentralblatt MATH:
0641.10026
Digital Object Identifier: doi:10.1215/S0012-7094-87-05413-5
Project Euclid: euclid.dmj/1077305511
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