English

On the three-term curves

Algebraic Geometry 2009-04-29 v1

Abstract

We classify projective plane nonsingular curves admitting a 3-term presentation; they exist in any degree, generally constitute 5 birational families and are defined over rational numbers. The Belyi functions on all these curves are presented.

Keywords

Cite

@article{arxiv.0904.4457,
  title  = {On the three-term curves},
  author = {George B. Shabat and Alexei Sleptsov},
  journal= {arXiv preprint arXiv:0904.4457},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-06-21T12:56:00.410Z