English

On rational functions whose normalization has genus zero or one

Number Theory 2018-01-09 v3 Algebraic Geometry Complex Variables

Abstract

We give a complete list of rational functions AA such that the genus gg of the Galois closure of C(z)/C(A)\mathbb C(z)/\mathbb C(A) equals zero. We also provide a geometric description of AA for which g=1.g=1.

Keywords

Cite

@article{arxiv.1609.03482,
  title  = {On rational functions whose normalization has genus zero or one},
  author = {Fedor Pakovich},
  journal= {arXiv preprint arXiv:1609.03482},
  year   = {2018}
}

Comments

accepted version

R2 v1 2026-06-22T15:47:20.927Z