Points de petite hauteur sur les variétés semi-abéliennes

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1. [1] BEDFORD E., TAYLOR B., A new capacity for plurisubharmonic functions, Acta Math. 149 (1982) 1-40. Zbl0547.32012MR84d:32024
2. [2] BERTRAND D., Minimal heights and polarizations on group varieties, Duke Math. J. 80 (1) (1995) 223-250. Zbl0847.11036MR97a:11091
3. [3] BILU YU., Limit distribution of small points on algebraic tori, Duke Math. J. 89 (3) (1997) 465-476. Zbl0918.11035MR98m:11067
4. [4] BOGOMOLOV F.A., Points of finite order on abelian varieties, Izv. Akad. Nauk. SSSR Ser. Mat. 44 (4) (1980) 782-804, 973. Zbl0453.14018MR81m:14031
5. [5] BOMBIERI E., ZANNIER U., Algebraic points on subvarieties of Gnm, Int. Math. Res. Notices 7 (1995) 333-347. Zbl0848.11030MR96h:11061
6. [6] BOSCH S., LÜTKEBOHMERT W., RAYNAUD M., Néron Models, Ergeb., Vol. 21, Springer-Verlag, 1990. Zbl0705.14001MR91i:14034
7. [7] BOST J.-B., GILLET H., SOULÉ C., Heights of projective varieties and positive Green forms, J. Amer. Math. Soc. 7 (1994) 903-1027. Zbl0973.14013MR95j:14025
8. [8] CHAMBERT-LOIR A., Géométrie d'Arakelov et hauteurs canoniques sur des variétés semi-abéliennes, Math. Ann. 314 (1999) 381-401. Zbl0944.14010MR2000e:14032
9. [9] CHAMBERT-LOIR A., TSCHINKEL YU., Torseurs arithmétiques et espaces fibrés, E-print, math.NT/9901006, 1999. 
10. [10] DAVID S., PHILIPPON P., Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes, in : International Conference on Discrete Mathematics and Number Theory (Tiruchirapelli, 1996), Contemp. Math., 1998, pp. 333-364. Zbl0899.11027MR98j:11044
11. [11] DEMAILLY J.-P., Monge-Ampère operators, Lelong numbers and intersection theory, in : Complex Analysis and Geometry, Univ. Ser. Math., Plenum, New York, 1993, pp. 115-193. Zbl0792.32006MR94k:32009
12. [12] GILLET H., SOULÉ C., Arithmetic intersection theory, Publ. Math. Inst. Hautes Études Sci. 72 (1990) 94-174. Zbl0741.14012MR92d:14016
13. [13] HARTSHORNE R., Algebraic Geometry, Graduate Texts in Math., Vol. 52, Springer-Verlag, 1977. Zbl0367.14001MR57 #3116
14. [14] HINDRY M., Autour d'une conjecture de Serge Lang, Invent. Math. 93 (1988) 419-450. Zbl0638.14026MR89k:11044
15. [15] KLIMEK M., Pluripotential Theory, London Math. Society Monographs, Vol. 6, Clarendon Press, 1991. Zbl0742.31001MR93h:32021
16. [16] KNOP F., LANGE H., Some remarks on compactifications of commutative algebraic groups, Comment. Math. Helv. 60 (1985) 497-507. Zbl0587.14030MR87e:14042
17. [17] KÜNNEMANN K., Higher Picard varieties and the height pairing, Amer. J. Math. 118 (4) (1996) 781-797. Zbl0876.14006MR97d:14064
18. [18] KÜNNEMANN K., Projective regular models for abelian varieties, semi-stable reduction, and the height pairing, Duke Math. J. 95 (1) (1998) 161-212. Zbl0955.14017
19. [19] LAURENT M., Équations diophantiennes exponentielles, Invent. Math. 78 (1984) 299-327. Zbl0554.10009MR86j:11062
20. [20] LAWTON W.M., A generalization of a theorem of Kronecker, J. Sci. Fac. Chiang Mai Univ. 4 (1977) 15-23. Zbl0447.12004
21. [21] MAILLOT V., Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables, Mémoires de la Soc. Math. de France 80 (2000). Zbl0963.14009MR2001j:14037
22. [22] MCQUILLAN M., Division points on semi-abelian varieties, Invent. Math. 120 (1995) 143-159. Zbl0848.14022MR96b:14020
23. [23] PHILIPPON P., Sur des hauteurs alternatives, I, Math. Ann. 289 (1991) 255-283. Zbl0726.14017MR92m:11061
24. [24] POONEN B., Mordell-Lang plus Bogomolov, Invent. Math. 137 (2) (1999) 213-245. Zbl0995.11040MR2001c:11070
25. [25] RAYNAUD M., Sous-variétés d'une variété abélienne et points de torsion, in : Artin M., Tate J. (Eds.), Arithmetic and Geometry. Papers dedicated to I.R. Shafarevich, Progr. Math., Vol. 35, Birkhäuser, 1983, pp. 327-352. Zbl0581.14031MR85k:14022
26. [26] SCHMIDT W., Heights of points on subvarieties of Gnm, in : Number Theory (Paris 1993-1994), London Math. Soc. Lecture Note Ser., Vol. 235, Cambridge Univ. Press, 1996, pp. 157-187. Zbl0917.11023
27. [27] SERRE J.-P., Quelques propriétés des groupes algébriques commutatifs, in : Astérisque, Vol. 69-70, Astérisque, Soc. Math. France, 1979, pp. 191-202. MR82k:10041
28. [28] SOULÉ C., ABRAMOVICH D., BURNOL J.-F., KRAMER J., Lectures on Arakelov Geometry, Cambridge Studies in Advances Mathematics, Vol. 33, Cambridge University Press, 1992. Zbl0812.14015MR94e:14031
29. [29] SZPIRO L., ULLMO E., ZHANG S.-W., Équidistribution des petits points, Invent. Math. 127 (1997) 337-348. Zbl0991.11035MR98i:14027
30. [30] ULLMO E., Positivité et discrétion des points algébriques des courbes, Ann. of Math. 147 (1) (1998) 167-179. Zbl0934.14013MR99e:14031
31. [31] VOJTA P., Integral points on subvarieties of semiabelian varieties, I, Invent. Math. 126 (1996) 133-181. Zbl1011.11040MR98a:14034
32. [32] VOJTA P., Integral points on subvarieties of semiabelian varieties, II, Amer. J. Math. 121 (2) (1999) 283-313. Zbl1018.11027MR2000d:11074
33. [33] ZHANG S.-W., Positive line bundles on arithmetic varieties, J. Amer. Math. Soc. 8 (1995) 187-221. Zbl0861.14018MR95c:14020
34. [34] ZHANG S.-W., Small points and adelic metrics, J. Algebraic Geometry 4 (1995) 281-300. Zbl0861.14019MR96e:14025
35. [35] ZHANG S.-W., Equidistribution of small points on abelian varieties, Ann. of Math. 147 (1) (1998) 159-165. Zbl0991.11034MR99e:14032

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