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On local trigonal fibrations

Authors: Mizuho Ishizaka and Hiro-o Tokunaga
Journal: Proc. Amer. Math. Soc. 140 (2012), 3677-3686
MSC (2010): Primary 14H15; Secondary 14H30, 14H51
Published electronically: February 29, 2012
MathSciNet review: 2944708
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Abstract: We show that certain degenerating hyperelliptic curves, called horizontal types, of genus $ g$ appear as the central fiber of a local family of trigonal curves of genus $ g$ by constructing such a family explicitly.

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Additional Information

Mizuho Ishizaka
Affiliation: Department of Mathematical Sciences, Ritsumeikan University, 1-1-1 Noji Higashi Kusatsu 525-8577, Shiga, Japan

Hiro-o Tokunaga
Affiliation: Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji-shi 192-0397, Tokyo, Japan

Keywords: Trigonal curve, triple cover
Received by editor(s): October 8, 2007
Received by editor(s) in revised form: December 16, 2010, March 17, 2011, and April 19, 2011
Published electronically: February 29, 2012
Communicated by: Ted Chinburg
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.