Tschirnhaus-Weierstrass curves
Algebraic Geometry
2011-06-10 v2 Symbolic Computation
Abstract
We define the concept of Tschirnhaus-Weierstrass curve, named after the Weierstrass form of an elliptic curve and Tschirnhaus transformations. Every pointed curve has a Tschirnhaus-Weierstrass form, and this representation is unique up to a scaling of variables. This is useful for computing isomorphisms between curves.
Keywords
Cite
@article{arxiv.0808.3038,
title = {Tschirnhaus-Weierstrass curves},
author = {Josef Schicho and David Sevilla},
journal= {arXiv preprint arXiv:0808.3038},
year = {2011}
}
Comments
v2: 10 pages, major revision due to errors in the main result. v1: 14 pages, submitted to Mathematics of Computation