Heights of algebraic points on subvarieties of abelian varieties

E. Bombieri; U. Zannier

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 4, page 779-792
  • ISSN: 0391-173X

How to cite

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Bombieri, E., and Zannier, U.. "Heights of algebraic points on subvarieties of abelian varieties." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.4 (1996): 779-792. <http://eudml.org/doc/84249>.

@article{Bombieri1996,
author = {Bombieri, E., Zannier, U.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {heights; algebraic points; abelian varieties over a number field},
language = {eng},
number = {4},
pages = {779-792},
publisher = {Scuola normale superiore},
title = {Heights of algebraic points on subvarieties of abelian varieties},
url = {http://eudml.org/doc/84249},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Bombieri, E.
AU - Zannier, U.
TI - Heights of algebraic points on subvarieties of abelian varieties
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 4
SP - 779
EP - 792
LA - eng
KW - heights; algebraic points; abelian varieties over a number field
UR - http://eudml.org/doc/84249
ER -

References

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  2. [BP] D. Bertrand - P. Philippon, Sous groupes de groupes algébriques commutatifs, Illillois J. Math.32 (1988), 263-280. Zbl0618.14020MR945863
  3. [BZ] E. Bombieri - U. Zannier, Algebraic points on subvarieties of G nm, Internat Math. Res. Notices7 (1995), 333-347. Zbl0848.11030MR1350686
  4. [Bu] J.F. Burnol, Weierstrass points on arithmetic surfaces, Inv. Math.107 (1992), 421-432. Zbl0723.14019MR1144430
  5. [El] N. Elkies, The existence of infinitely many supersingular primes for every elliptic curve over Q, Inv. Math.89 (1987), 561-567. Zbl0631.14024MR903384
  6. [Fu] W. Fulton, Introduction to Intersection Theory in Algebraic Geometry, Regional Conference Series in Mathematics, ISSN 0160-7642; n. 54, A.M.S., 1984. Zbl0913.14001MR735435
  7. [GH] P. Griffiths - J. Harris, Principles of Algebraic Geometry, Wiley, 1978. Zbl0408.14001MR507725
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  9. [La] S. Lang, Complex Multiplication, Springer, Verlag, 1983. Zbl0536.14029MR713612
  10. [McQ] M. Mcquillan, Division points on semi-abelian varieties, Inv. Math.120 (1995), 143-159. Zbl0848.14022MR1323985
  11. [Ray] M. Raynaud, Sous variétés d'une variété abelienne et points de torsion, In: "Arithmetic & Geometry", Coates & Helgason eds., Vol. 1, Birkhauser1983. Zbl0581.14031MR717600
  12. [Sch1] W.M. Schmidt, Heights of algebraic points lying on curves or hypersurfaces, to appear in Proc. Amer. Math. Soc. (1995). Zbl0867.11046MR1343724
  13. [Sch2] W.M. Schmidt, Heights ofpoints on subvarieties of Gn m, preprint 1995. MR1330740
  14. [Sz] L. Szpiro, Sur les proprietes numériques du dualisant relatif d'une surface arithmétique, The Grothendieck Festschrift Volume III, Progress in Mathematics88, Birkhäuser1990. Zbl0759.14018MR1106917
  15. [Zh1] S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math.136 (1992), 569-587. Zbl0788.14017MR1189866
  16. [Zh2] S. Zhang, Positive line bundles on arithmetic varieties, J. Amer. Math. Soc.8 (1995), 187-221. Zbl0861.14018MR1254133
  17. [Zh3] S. Zhang, Small points and adelic metrics, J. Algebraic Geom.4 (1995), 281-300. Zbl0861.14019MR1311351

Citations in EuDML Documents

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  1. Gaël Rémond, Approximation diophantienne sur les variétés semi-abéliennes
  2. Sinnou David, Patrice Philippon, Minorations des hauteurs normalisées des sous-variétés des tores
  3. Pietro Corvaja, Umberto Zannier, S-unit points on analytic hypersurfaces
  4. Enrico Bombieri, Paula B. Cohen, Siegel's lemma, Padé approximations and jacobians
  5. Nicolas Ratazzi, Intersection de courbes et de sous-groupes et problèmes de minoration de hauteur dans les variétés abéliennes C.M.

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