# theorem of Bertini

> theorem that hyperplane sections of a smooth projective variety are generically smooth

**Wikidata**: [Q7782345](https://www.wikidata.org/wiki/Q7782345)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Theorem_of_Bertini)  
**Source**: https://4ort.xyz/entity/theorem-of-bertini