Tohoku Mathematical Journal
2004
June
SECOND SERIES VOL. 56, NO. 2

Tohoku Math. J.
56 (2004), 147-153

Title A DIVERGENCE-LIKE CHARACTERIZATION OF ADMISSIBLE FUNCTIONS ON DIGRAPHS

Author Gen-ichi Oshikiri

(Received July 2, 2002, revised November 14, 2002)
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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