How to Reconstruct a Planar Map From its Branching Curve
Eriola Hoxhaj, Josef Schicho · arXiv (Cornell University) · 2023
We present an algorithm for constructing a map $\mathbb{P}^2\to\mathbb{P}^2$ with a given branching curve. The stepping stone is the ramification curve, which is obtained as the linear normalization of the branching curve.