# Jacobian conjecture

> conjecture asserting that, over a characteristic-zero field K, given a polynomial map f: Kⁿ → Kⁿ, if its Jacobian determinant J: Kⁿ → K is a nonzero constant map, then f admits a polynomial inverse g: Kⁿ → Kⁿ

**Wikidata**: [Q2605695](https://www.wikidata.org/wiki/Q2605695)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Jacobian_conjecture)  
**Source**: https://4ort.xyz/entity/jacobian-conjecture


## References

1. Freebase Data Dumps. 2013