# Zariski's connectedness theorem

> theorem that, for a proper surjective morphism of varieties such that the function field of the codomain is separably closed in that of the domain, the preimage of any normal point is connected

**Wikidata**: [Q17080564](https://www.wikidata.org/wiki/Q17080564)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Zariski's_connectedness_theorem)  
**Source**: https://4ort.xyz/entity/zariski-s-connectedness-theorem