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