Tohoku Mathematical Journal

Monodromies of hyperelliptic families of genus three curves

Mizuho Ishizaka

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A complete list of the monodromies of degenerations of genus three which are not realized as the monodromies of any hyperelliptic families of genus three is given. We also prove that all the other monodromies of genus three are realized as the monodromies of certain hyperelliptic families.

Article information

Tohoku Math. J. (2), Volume 56, Number 1 (2004), 1-26.

First available in Project Euclid: 11 April 2005

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14D06: Fibrations, degenerations
Secondary: 14H10: Families, moduli (algebraic)


Ishizaka, Mizuho. Monodromies of hyperelliptic families of genus three curves. Tohoku Math. J. (2) 56 (2004), no. 1, 1--26. doi:10.2748/tmj/1113246379.

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