On algebraic points on curves

Paul Vojta

Compositio Mathematica (1991)

  • Volume: 78, Issue: 1, page 29-36
  • ISSN: 0010-437X

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Vojta, Paul. "On algebraic points on curves." Compositio Mathematica 78.1 (1991): 29-36. <http://eudml.org/doc/90080>.

@article{Vojta1991,
author = {Vojta, Paul},
journal = {Compositio Mathematica},
keywords = {rational points; height of an algebraic point; abc conjecture; asymptotic Fermat conjecture; Mordell conjecture},
language = {eng},
number = {1},
pages = {29-36},
publisher = {Kluwer Academic Publishers},
title = {On algebraic points on curves},
url = {http://eudml.org/doc/90080},
volume = {78},
year = {1991},
}

TY - JOUR
AU - Vojta, Paul
TI - On algebraic points on curves
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 78
IS - 1
SP - 29
EP - 36
LA - eng
KW - rational points; height of an algebraic point; abc conjecture; asymptotic Fermat conjecture; Mordell conjecture
UR - http://eudml.org/doc/90080
ER -

References

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  1. [D] Deschamps, M., Courbes de genre géométrique borné sur une surface de type général (d'après F. A. Bogomolov). Séminaire Bourbaki30e année, 1977/78, no. 519 (Lecture Notes in Mathematics, 710), Springer-Verlag, Berlin-Heidelberg-New York, 1978. Zbl0412.14013
  2. [E-V] Esnault, H. and Viehweg, E., Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields, Comp. Math., to appear. Zbl0742.14020MR1078858
  3. [G] Grauert, H., Mordells vermutung über rationale punkte auf algebraischen kurven und funktionenkörper. Publ. Math. IHES25 (1967) 131-149. Zbl0137.40503MR222087
  4. [H] Hartshorne, R., Algebraic geometry (Graduate texts in mathematics, 52), Springer-Verlag, Berlin-Heidelberg-New York, 1977. Zbl0367.14001MR463157
  5. [J] Jouanolou, J.P., Hypersurfaces solutions d'une equation de Pfaff analytique. Math. Ann.232 (1978) 239-245. Zbl0354.34007MR481129
  6. [L] Lang, S., Fundamentals of diophantine geometry. Springer-Verlag, Berlin-Heidelberg-New York, 1983. Zbl0528.14013MR715605
  7. [Sz] Szpiro, L., Propriétés numériques du faisceau dualisant relatif, in Séminaire sur les pinceaux de courbes de genre au moins deux, Astérisque86 (1981), pp. 44-78. Zbl0517.14006
  8. [V1] Vojta, P., Diophantine approximations and value distribution theory. (Lecture notes in mathematics, 1239.) Springer-Verlag, Berlin- Heidelberg-New York, 1987. Zbl0609.14011MR883451
  9. [V2] Vojta, P., Diophantine inequalities and Arakelov theory. In: Lang, S., Introduction to Arakelov theory. Springer-Verlag, Berlin-Heidelberg -New York, 1988, pp. 155-178. Zbl0667.14001

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