Katz–Lang finiteness theorem
id:
katz-lang-finiteness-theorem-299-16876000
title:
Katz–Lang finiteness theorem
text:
In number theory, the Katz–Lang finiteness theorem, proved by Nick Katz and Serge Lang (1981), states that if X is a smooth geometrically connected scheme of finite type over a field K that is finitely generated over the prime field, and Ker(X/K) is the kernel of the maps between their abelianized fundamental groups, then Ker(X/K) is finite if K has characteristic 0, and the part of the kernel coprime to p is finite if K has characteristic p > 0.
brand slug:
wiki
category slug:
encyclopedia
description:
On kernels of maps between abelianized fundamental groups of schemes and fields
original url:
https://en.wikipedia.org/wiki/Katz%E2%80%93Lang_finiteness_theorem
date created:
date modified:
2020-08-04T22:31:25Z
main entity:
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image:
fields total:
13
integrity:
14