Variation de la hauteur de faltings dans une classe de $\overline\mathbb{Q}$-isogénie de courbe elliptique
Lucien Szpiro and Emmanuel Ullmo
Source: Duke Math. J. Volume 97, Number 1
(1999), 81-97.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228502
Mathematical Reviews number (MathSciNet): MR1682288
Zentralblatt MATH identifier: 0952.11018
Digital Object Identifier: doi:10.1215/S0012-7094-99-09703-X
References
[1] S. J. Arakelov, Intersection theory of divisors on an arithmetic surface, Math. USSR-Izv. 8 (1974), 1167–1180.
Zentralblatt MATH: 0355.14002
Mathematical Reviews (MathSciNet): MR472815
[2] Gerd Faltings, Calculus on arithmetic surfaces, Ann. of Math. (2) 119 (1984), no. 2, 387–424.
Mathematical Reviews (MathSciNet): MR86e:14009
Zentralblatt MATH: 0559.14005
Digital Object Identifier: doi:10.2307/2007043
JSTOR: links.jstor.org
[3] M. Flexor and J. Oesterlé, Sur les points de torsion des courbes elliptiques, Astérisque (1990), no. 183, 25–36, dans Séminaire sur les Pinceaux de Courbes Elliptiques, (Paris, 1988), Soc. Math. France, Paris.
Mathematical Reviews (MathSciNet): MR91g:11057
Zentralblatt MATH: 0737.14004
[4] Paul Hriljac, Splitting fields of principal homogeneous spaces, Number theory (New York, 1984–1985), Lecture Notes in Math., vol. 1240, Springer, Berlin, 1987, pp. 214–229.
Mathematical Reviews (MathSciNet): MR88e:11043
Zentralblatt MATH: 0623.14013
[5] Serge Lang, Introduction to Arakelov theory, Springer-Verlag, New York, 1988.
Mathematical Reviews (MathSciNet): MR89m:11059
Zentralblatt MATH: 0667.14001
[6] B. Mazur, Rational isogenies of prime degree (with an appendix by D. Goldfeld), Invent. Math. 44 (1978), no. 2, 129–162.
Mathematical Reviews (MathSciNet): MR80h:14022
Zentralblatt MATH: 0386.14009
Digital Object Identifier: doi:10.1007/BF01390348
[7] Michel Raynaud, Hauteurs et isogénies, Astérisque (1985), no. 127, 199–234, dans Seminar on Arithmetic Bundles: The Mordell Conjecture (Paris, 1983/84), Soc. Math. France, Paris.
Mathematical Reviews (MathSciNet): MR801923
[8] Jean-Pierre Serre, Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972), no. 4, 259–331.
Mathematical Reviews (MathSciNet): MR52:8126
Zentralblatt MATH: 0235.14012
Digital Object Identifier: doi:10.1007/BF01405086
[9] Joseph H. Silverman, Heights and elliptic curves, Arithmetic geometry (Storrs, Conn., 1984), Springer, New York, 1986, pp. 253–265.
Mathematical Reviews (MathSciNet): MR861979
Zentralblatt MATH: 0603.14020
[10] Joseph H. Silverman, Hecke points on modular curves, Duke Math. J. 60 (1990), no. 2, 401–423.
Mathematical Reviews (MathSciNet): MR92e:11066
Zentralblatt MATH: 0744.14014
Digital Object Identifier: doi:10.1215/S0012-7094-90-06016-8
Project Euclid: euclid.dmj/1077297298
[11] Lucien Szpiro, Degrés, intersections, hauteurs, Astérisque (1985), no. 127, 11–28, dans Seminar on Arithmetic Bundles: The Mordell Conjecture (Paris, 1983/84), Soc. Math. France, Paris.
Mathematical Reviews (MathSciNet): MR801917
[12] L. Szpiro, Sur les propriétés numériques du dualisant relatif d'une surface arithmétique, The Grothendieck Festschrift, Vol. III, Progr. Math., vol. 88, Birkhäuser Boston, Boston, MA, 1990, pp. 229–246.
Mathematical Reviews (MathSciNet): MR92c:14017
Zentralblatt MATH: 0759.14018
[13] Emmanuel Ullmo, Points entiers, points de torsion et amplitude arithmétique, Amer. J. Math. 117 (1995), no. 4, 1039–1055.
Mathematical Reviews (MathSciNet): MR96j:14016
Zentralblatt MATH: 0863.14016
Digital Object Identifier: doi:10.2307/2374958
JSTOR: links.jstor.org
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