Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://www.mccme.ru/ium/s13/hindry.html
Дата изменения: Tue Mar 5 22:29:23 2013 Дата индексирования: Thu Feb 27 21:44:22 2014 Кодировка: koi8-r Поисковые слова: universe |
The purpose of the course is to introduce basic tools from algebraic geometry (abelian varieties, line bundles, etc) and algebraic number theory (heights) used in Diophantine Geometry and apply to describe classical theorems of Mordell-Weil : "the group of rational points of an abelian variety is finitely generated" and Faltings : "the set ot rational point of a subvariety of an abelian variety is not Zariski dense (outside trivial cases)"