I‑AIMS Institute for Artificial Intelligence
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Computational aspects of hyperelliptic curves

Tanush Shaska

I-AIMS paper 2002-2 · Published in Lecture Notes Ser. Comput. 10, World Sci. (2003), 248–257 · 2003

We introduce a new approach of computing the automorphism group and the field of moduli of points 𝔭 = [C] in the moduli space of hyperelliptic curves ℋ_g. Further, we show that for every moduli point 𝔭 ∈ ℋ_g(L) such that the reduced automorphism group of 𝔭 has at least two involutions, there exists a representative C of the isomorphism class 𝔭 which is defined over L.

MSC classes: Primary 14H37; Secondary 14Q05, 14H10, 14H45

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References

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