Computing minimal Weierstrass equations
Number Theory
2024-01-25 v3
Abstract
We describe an algorithm for determining a minimal Weierstrass equation for hyperelliptic curves over principal ideal domains. When the curve has a rational Weierstrass point , we also give a similar algorithm for determining the minimal Weierstrass equation with respect to .
Keywords
Cite
@article{arxiv.2209.00469,
title = {Computing minimal Weierstrass equations},
author = {Qing Liu},
journal= {arXiv preprint arXiv:2209.00469},
year = {2024}
}
Comments
Renumber the sections to match the published version. Add a hypothesis in Proposition 4.6.2.a that is omitted in the published version