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Integral models of certain Shimura curves
Kevin Buzzard
Source: Duke Math. J. Volume 87, Number 3
(1997), 591-612.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077242328
Mathematical Reviews number (MathSciNet): MR1446619
Zentralblatt MATH identifier: 0880.11048
Digital Object Identifier: doi:10.1215/S0012-7094-97-08719-6
References
[BLR] S. Bosch, W. Lütkebohmert, and M. Raynaud, Néron models, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 21, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR91i:14034
Zentralblatt MATH: 0705.14001
[B] J. F. Boutot, Le problème de modules en inégale caractéristique, Variétés de Shimura et fonctions $L$, Publ. Math. Univ. Paris VII, vol. 6, Université de Paris VII, U.E.R. de Mathématiques, Paris, 1979, pp. 43–62.
Zentralblatt MATH: 0557.14023
Mathematical Reviews (MathSciNet): MR680404
[BL] Boutot, Jean-François and Breen, L. and Gérardin, Paul and Giraud, Jean and Labesse, J.-P. and Milne, James Stuart and Soulé, Christophe, eds., Variétés de Shimura et fonctions $L$, Publications Mathématiques de l'Université Paris VII [Mathematical Publications of the University of Paris VII], vol. 6, Université de Paris VII U.E.R. de Mathématiques, Paris, 1979.
Mathematical Reviews (MathSciNet): MR84m:14025
Zentralblatt MATH: 0517.00003
[BC] J. F. Boutot and H. Carayol, Uniformisation $p$-adique des courbes de Shimura: les théorèmes de Čerednik et de Drinfeld, Astérisque (1991), no. 196-197, 7, 45–158 (1992).
Mathematical Reviews (MathSciNet): MR93c:11041
Zentralblatt MATH: 0781.14010
[Bu] K. Buzzard Ph.D. thesis, Cambridge University, 1995.
[C] H. Carayol, Sur la mauvaise réduction des courbes de Shimura, Compositio Math. 59 (1986), no. 2, 151–230.
Mathematical Reviews (MathSciNet): MR88a:11058
Zentralblatt MATH: 0607.14021
[CF] G. Faltings and C. L. Chai, Degeneration of abelian varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 22, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR92d:14036
Zentralblatt MATH: 0744.14031
[DM] P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. (1969), no. 36, 75–109.
Mathematical Reviews (MathSciNet): MR41:6850
Zentralblatt MATH: 0181.48803
Digital Object Identifier: doi:10.1007/BF02684599
[DR] P. Deligne and M. Rapoport, Les schémas de modules de courbes elliptiques, Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), Springer, Berlin, 1973, 143–316. Lecture Notes in Math., Vol. 349.
Mathematical Reviews (MathSciNet): MR49:2762
Zentralblatt MATH: 0281.14010
[DG]1 M. Demazure and A. Grothendieck, Schémas en groupes. I: Propriétés générales des schémas en groupes, Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3). Dirigé par M. Demazure et A. Grothendieck. Lecture Notes in Mathematics, Vol. 151, Springer-Verlag, Berlin, 1970.
Mathematical Reviews (MathSciNet): MR43:223a
Zentralblatt MATH: 0207.51401
[DG]2 M. Demazure and A. Grothendieck, Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux, Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3). Dirigé par M. Demazure et A. Grothendieck. Lecture Notes in Mathematics, Vol. 152, Springer-Verlag, Berlin, 1962/1964.
Mathematical Reviews (MathSciNet): MR43:223b
Zentralblatt MATH: 0209.24201
[DG]3 M. Demazure and A. Grothendieck, Schémas en groupes. III: Structure des schémas en groupes réductifs, Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3). Dirigé par M. Demazure et A. Grothendieck. Lecture Notes in Mathematics, Vol. 153, Springer-Verlag, Berlin, 1962/1964.
Mathematical Reviews (MathSciNet): MR43:223c
Zentralblatt MATH: 0212.52810
[DT] F. Diamond and R. Taylor, Nonoptimal levels of mod $l$ modular representations, Invent. Math. 115 (1994), no. 3, 435–462.
Mathematical Reviews (MathSciNet): MR95c:11060
Zentralblatt MATH: 0847.11025
Digital Object Identifier: doi:10.1007/BF01231768
[Gi] J. Giraud, Modules des variétés abéliennes et variétés de Shimura, Variétés de Shimura et fonctions $L$, Publ. Math. Univ. Paris VII, vol. 6, Université de Paris VII, U.E.R. de Mathématiques, Paris, 1979, pp. 21–42.
Zentralblatt MATH: 0538.14030
[G] B. H. Gross, A tameness criterion for Galois representations associated to modular forms (mod $p$), Duke Math. J. 61 (1990), no. 2, 445–517.
Mathematical Reviews (MathSciNet): MR91i:11060
Zentralblatt MATH: 0743.11030
Digital Object Identifier: doi:10.1215/S0012-7094-90-06119-8
Project Euclid: euclid.dmj/1077296826
[J] F. Jarvis Ph.D. thesis, Cambridge University, 1994.
[Ka] N. Katz, Serre-Tate local moduli, Algebraic surfaces (Orsay, 1976–78), Lecture Notes in Math., vol. 868, Springer, Berlin, 1981, pp. 138–202.
Mathematical Reviews (MathSciNet): MR83k:14039b
Zentralblatt MATH: 0477.14007
[KM] N. Katz and B. Mazur, Arithmetic moduli of elliptic curves, Annals of Mathematics Studies, vol. 108, Princeton University Press, Princeton, NJ, 1985.
Mathematical Reviews (MathSciNet): MR86i:11024
Zentralblatt MATH: 0576.14026
[Kn] D. Knutson, Algebraic Spaces, Lecture Notes in Mathematics, vol. 203, Springer-Verlag, Berlin, 1971.
Mathematical Reviews (MathSciNet): MR46:1791
Zentralblatt MATH: 0221.14001
[M] J. S. Milne, Abelian varieties, Arithmetic geometry (Storrs, Conn., 1984), Springer, New York, 1986, pp. 103–150.
Mathematical Reviews (MathSciNet): MR861974
Zentralblatt MATH: 0604.14028
[O] T. Oda, The first de Rham cohomology group and Dieudonné modules, Ann. Sci. École Norm. Sup. (4) 2 (1969), 63–135.
Mathematical Reviews (MathSciNet): MR39:2775
Zentralblatt MATH: 0175.47901
[R] M. Rapoport, Compactifications de l'espace de modules de Hilbert-Blumenthal, Compositio Math. 36 (1978), no. 3, 255–335.
Mathematical Reviews (MathSciNet): MR80j:14009
Zentralblatt MATH: 0386.14006
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