Tohoku Mathematical Journal
2004
March
SECOND SERIES VOL. 56, NO. 1

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

Title MONODROMIES OF HYPERELLIPTIC FAMILIES OF GENUS THREE CURVES

Author Mizuho Ishizaka

(Received May 15, 2001, revised October 21, 2003)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 14D06; Secondary 14H45, 14H15, 57M99, 30F99.

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