Faltings' product theorem
id:
faltings-product-theorem-320-8319382
title:
Faltings' product theorem
text:
In arithmetic geometry, Faltings' product theorem gives sufficient conditions for a subvariety of a product of projective spaces to be a product of varieties in the projective spaces. It was introduced by Faltings (1991) in his proof of Lang's conjecture that subvarieties of an abelian variety containing no translates of non-trivial abelian subvarieties have only finitely many rational points. Evertse (1995) and Ferretti (1996) gave explicit versions of Faltings' product theorem.
brand slug:
wiki
category slug:
encyclopedia
description:
On when a subvariety of a product of projective spaces is a product of varieties
original url:
https://en.wikipedia.org/wiki/Faltings%27_product_theorem
date created:
date modified:
2022-11-16T03:42:51Z
main entity:
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image:
fields total:
13
integrity:
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