English

Covering Rational Ruled Surfaces

Algebraic Geometry 2014-10-08 v3 Symbolic Computation

Abstract

We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.

Keywords

Cite

@article{arxiv.1406.2140,
  title  = {Covering Rational Ruled Surfaces},
  author = {J. Rafael Sendra and David Sevilla and Carlos Villarino},
  journal= {arXiv preprint arXiv:1406.2140},
  year   = {2014}
}

Comments

19 pages, 2 figures in jpg. v2: minor correction of Example 1. v3: updated acknowledgements

R2 v1 2026-06-22T04:33:53.194Z