English

Weierstrass points on Kummer extensions

Algebraic Geometry 2015-11-09 v3

Abstract

For Kummer extensions ym=f(x)y^m=f(x), we discuss conditions for an integer be a Weierstrass gap at a place PP. In the case of totally ramified places, the conditions will be necessary and sufficient. As a consequence, we extend independent results of several authors.

Keywords

Cite

@article{arxiv.1308.2203,
  title  = {Weierstrass points on Kummer extensions},
  author = {Miriam Abdon and Herivelto Borges and Luciane Quoos},
  journal= {arXiv preprint arXiv:1308.2203},
  year   = {2015}
}
R2 v1 2026-06-22T01:07:10.514Z