The Mordell conjecture revisited

Enrico Bombieri

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 4, page 615-640
  • ISSN: 0391-173X

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Bombieri, Enrico. "The Mordell conjecture revisited." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.4 (1990): 615-640. <http://eudml.org/doc/84090>.

@article{Bombieri1990,
author = {Bombieri, Enrico},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Mordell conjecture; rational points; heights},
language = {eng},
number = {4},
pages = {615-640},
publisher = {Scuola normale superiore},
title = {The Mordell conjecture revisited},
url = {http://eudml.org/doc/84090},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Bombieri, Enrico
TI - The Mordell conjecture revisited
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 4
SP - 615
EP - 640
LA - eng
KW - Mordell conjecture; rational points; heights
UR - http://eudml.org/doc/84090
ER -

References

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  1. [F] G. Faltings, Diophantine approximation on abelian varieties. To appear in Annals of Math. (2) 133 (1991). Zbl0734.14007
  2. [G] A.O. Gelfond, Transcendental and Algebraic Numbers. (English translation by L. F. Boron.) Dover Publications, New York1960. Zbl0090.26103
  3. [L] S. Lang, Fundamentals of Diophantine Geometry. Springer-Verlag, New York, Berlin, Heidelberg, Tokyo1983. Zbl0528.14013
  4. [M] D. Mumford, A remark on Mordell's conjecture. Amer. J. Math.87 (1965), pp. 1007-1016. Zbl0151.27301
  5. [M2] D. Mumford, Algebraic Geometry I. Complex Projective Varieties. Springer-Verlag, Berlin, Heidelberg, New York1976. Zbl0356.14002
  6. [R] K.F. Roth, Rational approximations to algebraic numbers.Mathematika2 (1955), pp. 1-20. Zbl0064.28501
  7. [V] R. Vojta, Siegel's theorem in the compact case. To appear in Annals of Math. (2) 133 (1991). Zbl0774.14019
  8. [W] A. Weil, Arithmetic on algebraic varieties. Annals of Math. (2) 53 (1951), pp. 412-444. Zbl0043.27002

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