English

Purely inseparable points on curves

Algebraic Geometry 2019-11-07 v2

Abstract

We give effective upper bounds for the number of purely inseparable points on non isotrivial curves over function fields of positive characteristic and of transcendence degree one. These bounds depend on the genus of the curve, the genus of the function field and the number of points of bad reduction of the curve.

Keywords

Cite

@article{arxiv.1909.00422,
  title  = {Purely inseparable points on curves},
  author = {Damian Rössler},
  journal= {arXiv preprint arXiv:1909.00422},
  year   = {2019}
}
R2 v1 2026-06-23T11:02:35.655Z