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arXiv · 2209.00469

Computing minimal Weierstrass equations

Qing Liu
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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 $w_0$, we also give a similar algorithm for determining the minimal Weierstrass equation with respect to $w_0$.

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Qing Liu. 2022-09-01. Computing minimal Weierstrass equations. https://doi.org/10.1007/s40993-023-00483-5

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