Problems and results on the distribution of algebraic points on algebraic varieties

Enrico Bombieri[1]

  • [1] Institute for Advanced Study 1 Einstein Drive Princeton, NJ 08540, USA

Journal de Théorie des Nombres de Bordeaux (2009)

  • Volume: 21, Issue: 1, page 41-57
  • ISSN: 1246-7405

Abstract

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This is a survey paper on the distribution of algebraic points on algebraic varieties.

How to cite

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Bombieri, Enrico. "Problems and results on the distribution of algebraic points on algebraic varieties." Journal de Théorie des Nombres de Bordeaux 21.1 (2009): 41-57. <http://eudml.org/doc/10875>.

@article{Bombieri2009,
abstract = {This is a survey paper on the distribution of algebraic points on algebraic varieties.},
affiliation = {Institute for Advanced Study 1 Einstein Drive Princeton, NJ 08540, USA},
author = {Bombieri, Enrico},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {algebraic points; height; Weil absolute logarithmic height; Mahler's measure; circle method; accumulator; Fano varieties; K3 varieties; conjecture of Batyrev and Manin; Neron–Severi group; cubic threefold; Arakelov height; Schanuel's Theorem; conjecture of Franke, Manin and Tschinkel; Northcott property; small points; Lehmer conjecture; Bogomolov property},
language = {eng},
number = {1},
pages = {41-57},
publisher = {Université Bordeaux 1},
title = {Problems and results on the distribution of algebraic points on algebraic varieties},
url = {http://eudml.org/doc/10875},
volume = {21},
year = {2009},
}

TY - JOUR
AU - Bombieri, Enrico
TI - Problems and results on the distribution of algebraic points on algebraic varieties
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2009
PB - Université Bordeaux 1
VL - 21
IS - 1
SP - 41
EP - 57
AB - This is a survey paper on the distribution of algebraic points on algebraic varieties.
LA - eng
KW - algebraic points; height; Weil absolute logarithmic height; Mahler's measure; circle method; accumulator; Fano varieties; K3 varieties; conjecture of Batyrev and Manin; Neron–Severi group; cubic threefold; Arakelov height; Schanuel's Theorem; conjecture of Franke, Manin and Tschinkel; Northcott property; small points; Lehmer conjecture; Bogomolov property
UR - http://eudml.org/doc/10875
ER -

References

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