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math.NT2006★ 17 cited
Fields of moduli and fields of definition of curves
Bonnie Huggins
We determine conditions that guarantee that a hyperelliptic or plane curve over a field of characteristic not equal to 2 can be defined over its field of moduli. We also give new e…
math.NT2004★ 1 cited
Fields of moduli of hyperelliptic curves
Bonnie Huggins
Let F be an algebraically closed field with char(F) not equal to 2, let F/K be a Galois extension, and let X be a hyperelliptic curve defined over F. Let ιbe the hyperelliptic invo…