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Hyperelliptic Curves with Extra Involutions

Hyperelliptic Curves with Extra Involutions

Abstract The purpose of this paper is to study hyperelliptic curves with extra involutions. The locus L g of such genus- g hyperelliptic curves is a g -dimensional subvariety of the moduli space of hyperelliptic curves H g . The authors present a birational parameterization of L g via dihedral …