| 词条 | Katz–Lang finiteness theorem |
| 释义 |
In number theory, the Katz–Lang finiteness theorem, proved by {{harvs|txt|first1=Nick|last1=Katz|author1-link=Nick Katz|last2=Lang|first2=Serge|author2-link=Serge Lang|year=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. References
1 : Theorems in number theory |
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