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Journal Articles Research in Number Theory Year : 2023

Computing minimal Weierstrass equations of hyperelliptic curves

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.

Dates and versions

hal-04415457 , version 1 (24-01-2024)

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Qing Liu. Computing minimal Weierstrass equations of hyperelliptic curves. Research in Number Theory, 2023, 9 (4), pp.76. ⟨10.1007/s40993-023-00483-5⟩. ⟨hal-04415457⟩
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