Faltings's theorem
id:
faltings-s-theorem-173-4718929
title:
Faltings's theorem
text:
Faltings's theorem is a result in arithmetic geometry, according to which a curve of genus greater than 1 over the field Q of rational numbers has only finitely many rational points. This was conjectured in 1922 by Louis Mordell, and known as the Mordell conjecture until its 1983 proof by Gerd Faltings. The conjecture was later generalized by replacing Q by any number field.
brand slug:
wiki
category slug:
encyclopedia
description:
Curves of genus > 1 over the rationals have only finitely many rational points
original url:
https://en.wikipedia.org/wiki/Faltings%27s_theorem
date created:
2003-01-21T13:51:02Z
date modified:
2024-09-02T01:47:59Z
main entity:
{"identifier":"Q240950","url":"https://www.wikidata.org/entity/Q240950"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/a3/Gerd_Faltings_MFO.jpg","width":400,"height":300}
fields total:
13
integrity:
16