@incollection{AST_2012__348__149_0, author = {Chambert-Loir, Antoine}, title = {Relations de d\'ependance et intersections exceptionnelles}, booktitle = {S\'eminaire Bourbaki Volume 2010/2011 Expos\'es 1027-1042. Avec table par noms d'auteurs de 1948/49 \`a 2009/10.}, series = {Ast\'erisque}, note = {talk:1032}, pages = {149--188}, publisher = {Soci\'et\'e math\'ematique de France}, number = {348}, year = {2012}, mrnumber = {3050715}, zbl = {1273.14068}, language = {fr}, url = {http://archive.numdam.org/item/AST_2012__348__149_0/} }
TY - CHAP AU - Chambert-Loir, Antoine TI - Relations de dépendance et intersections exceptionnelles BT - Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10. AU - Collectif T3 - Astérisque N1 - talk:1032 PY - 2012 SP - 149 EP - 188 IS - 348 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2012__348__149_0/ LA - fr ID - AST_2012__348__149_0 ER -
%0 Book Section %A Chambert-Loir, Antoine %T Relations de dépendance et intersections exceptionnelles %B Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10. %A Collectif %S Astérisque %Z talk:1032 %D 2012 %P 149-188 %N 348 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2012__348__149_0/ %G fr %F AST_2012__348__149_0
Chambert-Loir, Antoine. Relations de dépendance et intersections exceptionnelles, in Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10., Astérisque, no. 348 (2012), Talk no. 1032, 40 p. http://archive.numdam.org/item/AST_2012__348__149_0/
[1] Hauteurs et discrétude (d'après L. Szpiro, E. Ullmo et S. Zhang), Séminaire Bourbaki, vol. 1996/97, exposé n° 825, Astérisque 245 (1997), p. 141-166. | EuDML | Numdam | MR | Zbl
-[2] Le problème de Lehmer en dimension supérieure, J. reine angew. Math. 513 (1999), p. 145-179. | MR | Zbl
& -[3] Minoration de la hauteur normalisée dans un tore, J. Inst. Math. Jussieu 2 (2003), p. 335-381. | DOI | MR | Zbl
& ,[4] Distribution des points de petite hauteur dans les groupes multiplicatifs, Ann. Sc. Norm. Super. Pisa Cl. Sci. 3 (2004), p. 325-348. | EuDML | Numdam | MR | Zbl
& ,[5] Small points on subvarieties of a torus, Duke Math. J. 150 (2009), p. 407-442. | DOI | MR | Zbl
& -[6] Some topics in differential algebraic geometry. I. Analytic subgroups of algebraic groups, Amer. J. Math. 94 (1972), p. 1195-1204. | DOI | MR | Zbl
-[7] Special points and Poincaré biextensions, prépublication arXiv:1104.5178.
-[8] Points of finite order on abelian varieties, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), p. 782-804, 973. | MR | Zbl
-[9] The Mordell conjecture revisited, Ann. Scuola Norm. Sup. Pisa CI. Sci. 17 (1990), p. 615-640. | EuDML | Numdam | MR | Zbl
-[10] Heights in Diophantine geometry, New Mathematical Monographs, vol. 4, Cambridge Univ. Press, 2006. | MR | Zbl
& -[11] A note on Maurin's theorem, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 21 (2010), p. 251-260. | DOI | MR | Zbl
, , & -[12] Intersecting a curve with algebraic subgroups of multiplicative groups, Int. Math. Res. Not. (1999), n° 20, p. 1119-1140. | DOI | MR | Zbl
, & -[13] Intersecting curves and algebraic subgroups : conjectures and more results, Trans. Amer. Math. Soc. 358 (2006), p. 2247-2257. | DOI | MR | Zbl
, & ,[14] Anomalous subvarieties-structure theorems and applications, Int. Math. Res. Not. (2007), n° 19, p. 1-33. | MR | Zbl
, & ,[15] Intersecting a plane with algebraic subgroups of multiplicative groups, Ann. Sc. Norm. Super. Pisa CI. Sci. 7 (2008), p. 51-80. | EuDML | Numdam | MR | Zbl
, & ,[16] On unlikely intersections of complex varieties with tori, Acta Arith. 133 (2008), p. 309-323. | DOI | EuDML | MR | Zbl
, & ,[17] Algebraic points on subvarieties of , Int. Math. Res. Not. (1995), n° 7, p. 333-347. | DOI | MR | Zbl
& -[18] Heights of projective varieties and positive Green forms, J. Amer. Math. Soc. 7 (1994), p. 903-1027. | DOI | MR | Zbl
, & -[19] Petits points et multiplication complexe, Int. Math. Res. Not. (2009), n° 16, p. 3016-3097. | MR | Zbl
-[20] Minoration de la hauteur de Néron-Tate sur les variétés abéliennes de type C. M, J. reine angew. Math. 529 (2000), p. 1-74. | DOI | MR | Zbl
& -[21] Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes, in Number theory (Tiruchirapalli, 1996), Contemp. Math., vol. 210, Amer. Math. Soc., 1998, p. 333-364. | DOI | MR | Zbl
& -[22] Minorations des hauteurs normalisées des sous-variétés des tores, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 28 (1999), p. 489-543. | EuDML | Numdam | MR | Zbl
& ,[23] Sous-variétés de torsion des variétés semi-abéliennes, C. R. Acad. Sci.Paris Sér. I Math. 331 (2000), p. 587-592. | DOI | MR | Zbl
& ,[24] Le problème de Lehmer relatif en dimension supérieure, Ann. Sci. Éc. Norm. Super. 42 (2009), p. 981-1028. | DOI | EuDML | Numdam | MR | Zbl
-[25] On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), p. 391-401. | DOI | EuDML | MR | Zbl
-[26] Diophantine approximation on abelian varieties, Ann. of Math. 133 (1991), p. 549-576. | DOI | MR | Zbl
-[27] Le problème de Bogomolov effectif sur les variétés abéliennes, Algebra Number Theory 4 (2010), p. 547-598. | DOI | MR | Zbl
-[28] Intersecting subvarieties of with algebraic subgroups, Math. Ann. 342 (2008), p. 449-466. | DOI | MR | Zbl
-[29] A Bogomolov property for curves modulo algebraic subgroups, Bull. Soc. Math. France 137 (2009), p. 93-125. | DOI | EuDML | Numdam | MR | Zbl
,[30] Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension, Invent. Math. 176 (2009), p. 405-447. | DOI | MR | Zbl
,[31] On the bounded height conjecture, Int. Math. Res. Not. (2009), n° 5, p. 860-886. | MR | Zbl
,[32] Autour d'une conjecture de Serge Lang, Invent. Math. 94 (1988), p. 575-603. | DOI | EuDML | MR | Zbl
-[33] Diophantine geometry, Graduate Texts in Math., vol. 201, Springer, 2000. | DOI | MR | Zbl
& -[34] The Manin-Mumford conjecture and the model theory of difference fields, Ann. Pure Appl. Logic 112 (2001), p. 43-115. | DOI | MR | Zbl
-[35] The theory of the exponential differential equations of semiabelian varieties, Selecta Math. (N.S.) 15 (2009), p. 445-486. | DOI | MR | Zbl
-[36] Fundamentals of Diophantine geometry, Springer, 1983. | DOI | MR | Zbl
-[37] Minoration de la hauteur de Néron-Tate, in Seminar on number theory, Paris 1981-82 (Paris, 1981/1982), Progr. Math., vol. 38, Birkhäuser, 1983, p. 137-151. | MR | Zbl
-[38] Équations diophantiennes exponentielles, Invent. Math. 78 (1984), p. 299-327. | DOI | EuDML | MR | Zbl
,[39] Sur une conjecture de Serge Lang, in Journées Arithmétiques de Bordeaux (Conf, Univ. Bordeaux, Bordeaux, 1974), Soc. Math. France, 1975, p. 187-210. Astérisque, Nos. 24-25. | Numdam | MR | Zbl
-[40] Torsion anomalous points and families of elliptic curves, Amer. J. Math. 132 (2010), p. 1677-1691. | MR | Zbl
& -[41] Torsion points on families of squares of elliptic curves, Math. Ann. 352 (2012), p. 453-484. | DOI | MR | Zbl
& ,[42] Courbes algébriques et équations multiplicatives, Math. Ann. 341 (2008), p. 789-824. | DOI | MR | Zbl
-[43] Équations multiplicatives sur les sous-variétés des tores, Int. Math. Res. Not. (2011), n° 23, p. 5259-5366. | MR | Zbl
,[44] Division points on semi-abelian varieties, Invent. Math. 120 (1995), p. 143-159. | DOI | EuDML | MR | Zbl
-[45] Hodge cycles and crystalline cohomology, Lecture Notes in Math. 900 (1981), p. 357-414. | Zbl
-[46] O-minimality and the André-Oort conjecture for , Ann. of Math. 173 (2011), p. 1779-1840. | DOI | Zbl
-[47] Rational points in periodic analytic sets and the Manin-Mumford conjecture, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008), p. 149-162. | DOI | Zbl
& -[48] -adic algebraic monodromy groups, cocharacters, and the Mumford-Tate conjecture, J. reine angew. Math. 495 (1998), p. 187-237. | Zbl
-[49] A combination of the conjectures of Mordell-Lang and André-Oort, in Geometric methods in algebra and number theory, Progr. Math., vol. 235, Birkhäuser, 2005, p. 251-282. | Zbl
,[50] A common generalization of the conjectures of André-Oort, Manin-Mumford, and Mordell-Lang, 2005, Tech. report, ETH, Zürich, 2005, http://www.math.ethz.ch/˜pink/ftp/A0MMML.pdf
,[51] On Hrushovski's proof of the Manin-Mumford conjecture, in Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002), Higher Ed. Press, 2002, p. 539-546. | Zbl
& -[52] On -invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture, J. Algebraic Geom. 13 (2004), p. 771-798. | DOI | Zbl
& ,[53] L'égalité au cube, J. Symbolic Logic 66 (2001), p. 1647-1676. | DOI | Zbl
-[54] Mordell-Lang plus Bogomolov, Invent. Math. 137 (1999), p. 413-425. | DOI | Zbl
-[55] On subvarieties of abelian varieties, Invent. Math. 62 (1981), p. 459-479. | DOI | EuDML | Zbl
-[56] Around the Mordell conjecture for function fields and a conjecture of Serge Lang, in Algebraic geometry (Tokyo/Kyoto, 1982), Lecture Notes in Math., vol. 1016, Springer, 1983, p. 1-19. | DOI | Zbl
-[57] Courbes sur une variété abélienne et points de torsion, Invent. Math. 71 (1983), p. 207-233. | DOI | EuDML | Zbl
,[58] Inégalité de Vojta en dimension supérieure, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 29 (2000), p. 101-151. | EuDML | Numdam | Zbl
-[59] Sur le théorème du produit, J. Théor. Nombres Bordeaux 13 (2001), p. 287-302. | DOI | EuDML | Numdam | Zbl
,[60] Sur les sous-variétés des tores, Compositio Math. 134 (2002), p. 337-366. | DOI | Zbl
,[61] Approximation diophantienne sur les variétés semi-abéliennes, Ann. Sci. École Norm. Sup. 36 (2003), p. 191-212. | DOI | EuDML | Numdam | Zbl
,[62] Inégalité de Vojta généralisée, Bull. Soc. Math. France 133 (2005), p. 459-495. | DOI | EuDML | Numdam | Zbl
,[63] Intersection de sous-groupes et de sous-variétés. I, Math. Ann. 333 (2005), p. 525-548. | DOI | Zbl
,[64] Intersection de sous-groupes et de sous-variétés. II, J. Inst. Math. Jussieu 6 (2007), p. 317-348. | DOI | Zbl
,[65] Autour de la conjecture de Zilber-Pink, J. Théor. Nombres Bordeaux 21 (2009), p. 405-414. | DOI | EuDML | Numdam | Zbl
,[66] Intersection de sous-groupes et de sous-variétés. III, Comment. Math. Helv. 84 (2009), p. 835-863. | DOI | Zbl
,[67] Problème de Mordell-Lang modulo certaines sous-variétés abéliennes, Int. Math. Res. Not. (2003), n° 35, p. 1915-1931. | DOI | Zbl
& -[68] A note on the Manin-Mumford conjecture, in Number fields and function fields-two parallel worlds, Progr. Math., vol. 239, Birkhäuser, 2005, p. 311-318. | DOI | Zbl
-[69] Betti numbers of congruence groups, Israel J. Math. 88 (1994), p. 31-72. | DOI | Zbl
& -[70] Lower bounds for heights on finitely generated groups, Monatsh. Math. 123 (1997), p. 171-178. | DOI | EuDML | Zbl
-[71] Abelian -adic representations and elliptic curves, McGill University lecture notes written with the collaboration of Willem Kuyk and John Labute, W. A. Benjamin, Inc., New York-Amsterdam, 1968. | Zbl
-[72] Lectures on the Mordell-Weil theorem, third éd., Aspects of Mathematics, Friedr. Vieweg & Sohn, 1997. | Zbl
,[73] An effective Matsusaka big theorem, Ann. Inst. Fourier (Grenoble) 43 (1993), p. 1387-1405. | DOI | EuDML | Numdam | Zbl
-[74] Positivité et discrétion des points algébriques des courbes, Ann. of Math. 147 (1998), p. 167-179. | DOI | Zbl
-[75] The intersection of a curve with a union of translated codimension-two subgroups in a power of an elliptic curve, Algebra Number Theory 2 (2008), p. 249-298. | DOI | Zbl
-[76] The optimality of the bounded height conjecture, J. Théor. Nombres Bordeaux 21 (2009), p. 771-786. | DOI | EuDML | Numdam
,[77] Lower bounds for the normalized height and non-dense subsets of subvarieties of abelian varieties, Int. J. Number Theory 6 (2010), p. 471-499. | DOI | Zbl
,[78] Integral points on subvarieties of semiabelian varieties. I, Invent. Math. 126 (1996), p. 133-181. | DOI | Zbl
-[79] Lecture notes on Diophantine analysis, Appunti. Scuola Normale Superiore di Pisa (Nuova Serie), vol. 8, Edizioni della Normale, Pisa, 2009. | Zbl
-[80] Positive line bundles on arithmetic varieties, J. Amer. Math. Soc. 8 (1995), p. 187-221. | DOI | Zbl
-[81] Equidistribution of small points on abelian varieties, Ann. of Math. 147 (1998), p. 159-165. | DOI | Zbl
,[82] Exponential sums equations and the Schanuel conjecture, J. London Math. Soc. 65 (2002), p. 27-44. | DOI | Zbl
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