English

Covers of Elliptic Curves with Unique, Totally Ramified Branch Points

Algebraic Geometry 2014-07-07 v2

Abstract

A well-known and difficult problem in computational number theory and algebraic geometry is to write down equations for branched covers of algebraic curves with specified monodromy type. In this article, we present a technique for computing such covers in the case of totally ramified covers of elliptic curves branched at one point.

Keywords

Cite

@article{arxiv.1210.3195,
  title  = {Covers of Elliptic Curves with Unique, Totally Ramified Branch Points},
  author = {Simon Rubinstein-Salzedo},
  journal= {arXiv preprint arXiv:1210.3195},
  year   = {2014}
}

Comments

9 pages, 5 figures