English

On maps taking lines to plane curves

Algebraic Geometry 2014-09-12 v1

Abstract

We study cubic rational maps that take lines to plane curves. A complete description of such cubic rational maps concludes the classification of all planarizations, i.e., maps taking lines to plane curves.

Keywords

Cite

@article{arxiv.1409.3403,
  title  = {On maps taking lines to plane curves},
  author = {Vsevolod Petrushchenko and Vladlen Timorin},
  journal= {arXiv preprint arXiv:1409.3403},
  year   = {2014}
}

Comments

18 pages, 6 figures

R2 v1 2026-06-22T05:54:23.186Z