English

Projective isomorphisms between rational surfaces

Algebraic Geometry 2021-12-20 v2 Symbolic Computation

Abstract

We present a method for computing projective isomorphisms between rational surfaces that are given in terms of their parametrizations. The main idea is to reduce the computation of such projective isomorphisms to five base cases by modifying the parametric maps such that the components of the resulting maps have lower degree. Our method can be used to compute affine, Euclidean and M\"obius isomorphisms between surfaces.

Keywords

Cite

@article{arxiv.2010.08393,
  title  = {Projective isomorphisms between rational surfaces},
  author = {Bert Jüttler and Niels Lubbes and Josef Schicho},
  journal= {arXiv preprint arXiv:2010.08393},
  year   = {2021}
}