Endomorphisms of group schemes and rational points on curves

M.L. Brown

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 1-17
  • ISSN: 0037-9484

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Brown, M.L.. "Endomorphisms of group schemes and rational points on curves." Bulletin de la Société Mathématique de France 115 (1987): 1-17. <http://eudml.org/doc/87529>.

@article{Brown1987,
author = {Brown, M.L.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {rational points; abelian ramified covers on curves; weil heights on commutative group schemes; Fermat last theorem},
language = {eng},
pages = {1-17},
publisher = {Société mathématique de France},
title = {Endomorphisms of group schemes and rational points on curves},
url = {http://eudml.org/doc/87529},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Brown, M.L.
TI - Endomorphisms of group schemes and rational points on curves
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 1
EP - 17
LA - eng
KW - rational points; abelian ramified covers on curves; weil heights on commutative group schemes; Fermat last theorem
UR - http://eudml.org/doc/87529
ER -

References

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  1. [1] BERTRAND (D.). — Endomorphismes de groupes algébriques : applications arithmétiques, «Approximations diophantiennes et nombres transcendants», Luminy 1982, Progress in Math., Vol. 31, 1983, pp. 1-45. Zbl0526.10029
  2. [2] DEMAZURE (M.) and GROTHENDIECK (A.). — Schémas en Groupes I, II, (SGA 3), Lecture Notes in Math., Nos. 151, 152, Verlag, New York, 1970. Zbl0207.51401MR43 #223a
  3. [3] FALTINGS (G.) and WUSTHOLZ (G.). — Rational Points, Vieweg, Braunschweig, 1984. Zbl0588.14027MR87h:14016
  4. [4] HEATH-BROWN (D. R.). — Fermat's Last Theorem for "almost all" exponents, Bull. London Math. Soc., Vol 17, 1985, pp. 15-16. Zbl0546.10012MR86a:11011
  5. [5] NERON (A.). — Quasi-fonctions et hauteurs sur les variétés abéliennes. Annals of Math., Vol 82, 1965. pp. 249-331. Zbl0163.15205MR31 #3424
  6. [6] SERRE (J.-P.). — Quelques propriétés des groupes algébriques commutatifs, Astérisque, Vol. 69-70, 1979, pp. 191-202. MR82k:10041
  7. [7] SERRE (J.-P.). — Groupes algébriques et corps de classes, Hermann, Paris, 1959. Zbl0097.35604MR21 #1973
  8. [8] SZPIRO (L.). — Seminaire sur les pinceaux de courbes de genre au moins de deux, Asterisque, Vol 86, 1981 Zbl0463.00009MR83c:14020

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