English

How to Reconstruct a Planar Map From its Branching Curve

Algebraic Geometry 2023-07-19 v1

Abstract

We present an algorithm for constructing a map P2P2\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.

Cite

@article{arxiv.2307.09185,
  title  = {How to Reconstruct a Planar Map From its Branching Curve},
  author = {Eriola Hoxhaj and Josef Schicho},
  journal= {arXiv preprint arXiv:2307.09185},
  year   = {2023}
}
R2 v1 2026-06-28T11:33:29.077Z