Tschirnhaus-Weierstrass curves

Details Tschirnhaus-Weierstrass curves Tschirnhaus-Weierstrass curves

2008-08-22

arxiv.org/abs/0808.3038v2

Mathematics

Algebraic Geometry

v2: 10 pages, major revision due to errors in the main result. v1: 14 pages, submitted to Mathematics of Computation

Scientific paper

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.

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