## View abstract

### Session S14 - Global Injectivity, Jacobian Conjecture, and Related Topics

Wednesday, July 14, 12:00 ~ 12:50 UTC-3

## A sharp estimate on the size of the fiber of certain local biholomorphisms

### Xiaoyang Chen

We will talk about a sharp estimate on the size of the fiber of certain local biholomorphisms, which is based on a joint work with Professor Frederico Xavier. Our work in particular implies that a local biholomorphism between $\mathbb{C}^n$ is invertible if and only if the pull-back of every complex line is $1$-connected.