Geometry, integral points and integral curves

Pascal Autissier

Annales scientifiques de l'École Normale Supérieure (2009)

  • Volume: 42, Issue: 2, page 221-239
  • ISSN: 0012-9593

Abstract

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Let X be a projective variety over a number field K (resp. over ℂ ). Let H be the sum of “sufficiently many positive divisors” on X . We show that any set of quasi-integral points (resp. any integral curve) in X - H is not Zariski dense.

How to cite

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Autissier, Pascal. "Géométrie, points entiers et courbes entières." Annales scientifiques de l'École Normale Supérieure 42.2 (2009): 221-239. <http://eudml.org/doc/272125>.

@article{Autissier2009,
abstract = {Soit $X$ une variété projective sur un corps de nombres $K$ (resp. sur $\mathbb \{C\}$). Soit $H$ la somme de « suffisamment de diviseurs positifs » sur $X$. On montre que tout ensemble de points quasi-entiers (resp. toute courbe entière) dans $X-H$ est non Zariski-dense.},
author = {Autissier, Pascal},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {arithmetic geometry; height; integral points; diophantine approximation; hyperbolicity},
language = {fre},
number = {2},
pages = {221-239},
publisher = {Société mathématique de France},
title = {Géométrie, points entiers et courbes entières},
url = {http://eudml.org/doc/272125},
volume = {42},
year = {2009},
}

TY - JOUR
AU - Autissier, Pascal
TI - Géométrie, points entiers et courbes entières
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2009
PB - Société mathématique de France
VL - 42
IS - 2
SP - 221
EP - 239
AB - Soit $X$ une variété projective sur un corps de nombres $K$ (resp. sur $\mathbb {C}$). Soit $H$ la somme de « suffisamment de diviseurs positifs » sur $X$. On montre que tout ensemble de points quasi-entiers (resp. toute courbe entière) dans $X-H$ est non Zariski-dense.
LA - fre
KW - arithmetic geometry; height; integral points; diophantine approximation; hyperbolicity
UR - http://eudml.org/doc/272125
ER -

References

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