previous :: next
Ramified deformation problems
Brian Conrad
Source: Duke Math. J. Volume 97, Number 3
(1999), 439-513.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228800
Mathematical Reviews number (MathSciNet): MR1682986
Zentralblatt MATH identifier: 0997.11042
Digital Object Identifier: doi:10.1215/S0012-7094-99-09718-1
References
[1] Siegfried Bosch, Werner Lütkebohmert, and Michel 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
[2] Brian Conrad, The flat deformation functor, Modular forms and Fermat's last theorem (Boston, MA, 1995), Springer, New York, 1997, pp. 373–420.
Mathematical Reviews (MathSciNet): MR1638486
Zentralblatt MATH: 0927.11037
[3] B. Conrad, Finite group schemes over bases with low ramification, to appear in Compositio Math.
Mathematical Reviews (MathSciNet): MR1727133
Zentralblatt MATH: 0984.14015
Digital Object Identifier: doi:10.1023/A:1001788509055
[4] B. Conrad, F. Diamond, and R. Taylor, Modularity of certain potentially Barsotti-Tate Galois representations, to appear in J. Amer. Math. Soc.
Mathematical Reviews (MathSciNet): MR1639612
Zentralblatt MATH: 0923.11085
Digital Object Identifier: doi:10.1090/S0894-0347-99-00287-8
JSTOR: links.jstor.org
[5] Pierre Deligne and Jean-Pierre Serre, Formes modulaires de poids $1$, Ann. Sci. École Norm. Sup. (4) 7 (1974), 507–530 (1975).
Mathematical Reviews (MathSciNet): MR52:284
Zentralblatt MATH: 0321.10026
[6] Fred Diamond, On deformation rings and Hecke rings, Ann. of Math. (2) 144 (1996), no. 1, 137–166.
Mathematical Reviews (MathSciNet): MR97d:11172
Zentralblatt MATH: 0867.11032
Digital Object Identifier: doi:10.2307/2118586
JSTOR: links.jstor.org
[7] Jean-Marc Fontaine, Groupes finis commutatifs sur les vecteurs de Witt, C. R. Acad. Sci. Paris Sér. A-B 280 (1975), Ai, A1423–A1425.
Mathematical Reviews (MathSciNet): MR51:10353
Zentralblatt MATH: 0331.14023
[8] Jean-Marc Fontaine, Groupes $p$-divisibles sur les corps locaux, Société Mathématique de France, Paris, 1977, Astérisque 47-48.
Mathematical Reviews (MathSciNet): MR58:16699
Zentralblatt MATH: 0377.14009
[9] Jean-Marc Fontaine, Sur certains types de représentations $p$-adiques du groupe de Galois d'un corps local; construction d'un anneau de Barsotti-Tate, Ann. of Math. (2) 115 (1982), no. 3, 529–577.
Mathematical Reviews (MathSciNet): MR84d:14010
Zentralblatt MATH: 0544.14016
Digital Object Identifier: doi:10.2307/2007012
JSTOR: links.jstor.org
[10] Jean-Marc Fontaine and Guy Laffaille, Construction de représentations $p$-adiques, Ann. Sci. École Norm. Sup. (4) 15 (1982), no. 4, 547–608 (1983).
Mathematical Reviews (MathSciNet): MR85c:14028
Zentralblatt MATH: 0579.14037
[11] Guy Laffaille, Construction de groupes $p$-divisibles. Le cas de dimension $1$, Journées de Géométrie Algébrique de Rennes. (Rennes, 1978), Vol. III, Astérisque, vol. 65, Soc. Math. France, Paris, 1979, pp. 103–123.
Mathematical Reviews (MathSciNet): MR82a:14021
Zentralblatt MATH: 0438.14028
[12] Serge Lang, Algebraic number theory, Graduate Texts in Mathematics, vol. 110, Springer-Verlag, New York, 1994, 2d ed.
Mathematical Reviews (MathSciNet): MR95f:11085
Zentralblatt MATH: 0811.11001
[13] Hideyuki Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, Cambridge, 1986.
Mathematical Reviews (MathSciNet): MR88h:13001
Zentralblatt MATH: 0603.13001
[14] John Tate and Frans Oort, Group schemes of prime order, Ann. Sci. École Norm. Sup. (4) 3 (1970), 1–21.
Mathematical Reviews (MathSciNet): MR42:278
Zentralblatt MATH: 0195.50801
[15] Ravi Ramakrishna, On a variation of Mazur's deformation functor, Compositio Math. 87 (1993), no. 3, 269–286.
Mathematical Reviews (MathSciNet): MR94h:11054
Zentralblatt MATH: 0910.11023
[16] Michel Raynaud, Schémas en groupes de type $(p,\dots, p)$, Bull. Soc. Math. France 102 (1974), 241–280.
Mathematical Reviews (MathSciNet): MR54:7488
Zentralblatt MATH: 0325.14020
[17] Pierre Samuel, Théorie algébrique des nombres, Hermann, Paris, 1967.
Mathematical Reviews (MathSciNet): MR35:6643
Zentralblatt MATH: 0146.06402
[18] Michael Schlessinger, Functors of Artin rings, Trans. Amer. Math. Soc. 130 (1968), 208–222.
Mathematical Reviews (MathSciNet): MR36:184
Zentralblatt MATH: 0167.49503
Digital Object Identifier: doi:10.2307/1994967
JSTOR: links.jstor.org
[19] Shankar Sen, Ramification in $p$-adic Lie extensions, Invent. Math. 17 (1972), 44–50.
Mathematical Reviews (MathSciNet): MR47:8490
Zentralblatt MATH: 0242.12012
Digital Object Identifier: doi:10.1007/BF01390022
[20] Shankar Sen, Lie algebras of Galois groups arising from Hodge-Tate modules, Ann. of Math. (2) 97 (1973), 160–170.
Mathematical Reviews (MathSciNet): MR47:3403
Zentralblatt MATH: 0258.12009
Digital Object Identifier: doi:10.2307/1970879
JSTOR: links.jstor.org
[21] Jean-Pierre 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
[22] J. T. Tate, $p-divisible$ $groups.$, Proc. Conf. Local Fields (Driebergen, 1966), Springer, Berlin, 1967, pp. 158–183.
Mathematical Reviews (MathSciNet): MR38:155
Zentralblatt MATH: 0157.27601
[23] Richard Taylor and Andrew Wiles, Ring-theoretic properties of certain Hecke algebras, Ann. of Math. (2) 141 (1995), no. 3, 553–572.
Mathematical Reviews (MathSciNet): MR96d:11072
Zentralblatt MATH: 0823.11030
Digital Object Identifier: doi:10.2307/2118560
JSTOR: links.jstor.org
[24] Andrew Wiles, Modular elliptic curves and Fermat's last theorem, Ann. of Math. (2) 141 (1995), no. 3, 443–551.
Mathematical Reviews (MathSciNet): MR96d:11071
Zentralblatt MATH: 0823.11029
Digital Object Identifier: doi:10.2307/2118559
JSTOR: links.jstor.org
previous :: next
Duke Mathematical Journal