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Classification of the periodic monodromies of hyperelliptic families

Published online by Cambridge University Press:  22 January 2016

Mizuho Ishizaka*
Affiliation:
Mathematical Institute, Tohoku University, Sendai 980-8578, Japan, [email protected]
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Abstract

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We classify the periodic monodromies which are realized as the monodromies of hyperelliptic families.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

References

[AA] Arakawa, T. and Ashikaga, T., Local splitting families of hyperelliptic pencils I, Tohoku Math. J., 53 (2001), 369394.Google Scholar
[AI] Ashikaga, T. and Ishizaka, M., Classification of degenerations of curves of genus three via Matsumoto-Montesinos’ theorem, Tohoku Math. J., 54 (2002), 195226.CrossRefGoogle Scholar
[Ho1] Horikawa, E., On deformations of quintic surfaces, Invent. Math., 31 (1975), 4385.Google Scholar
[Ho2] Horikawa, E., On algebraic surfaces with pencils of curves of genus 2, in Complex Anal ysis and Algebraic Geometry, a collection of papers dedicated to K. Kodaira, pp.7990, Iwanami Shoten, Tokyo and Cambridge Univ. Press, 1977.Google Scholar
[Ke] Kerchhoff, S. P., The Nielsen realization problem, Ann. of Math., 117 (1983), 235265.CrossRefGoogle Scholar
[MM1] Matsumoto, Y. and Montesinos-Amilibia, J. M., Pseudo-periodic maps and degeneration of Riemann surfaces I, II, preprints, Univ. of Tokyo and Univ. Complutense de Madrid, 1991/1992.Google Scholar
[MM2] Matsumoto, Y. and Montesinos-Amilibia, J. M., Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces, Bull. Amer. Math. Soc., 30 (1994), 7075.Google Scholar