On local trigonal fibrations
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- by Mizuho Ishizaka and Hiro-o Tokunaga PDF
- Proc. Amer. Math. Soc. 140 (2012), 3677-3686 Request permission
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.References
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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
- 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
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3677-3686
- MSC (2010): Primary 14H15; Secondary 14H30, 14H51
- DOI: https://doi.org/10.1090/S0002-9939-2012-11207-9
- MathSciNet review: 2944708