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Computing minimal Weierstrass equations

Published 1 Sep 2022 in math.NT | (2209.00469v3)

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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