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Local splitting families of hyperelliptic pencils, II
Published online by Cambridge University Press: 22 January 2016
Abstract
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We propose certain obstructions for the existence of hyperelliptic splitting families of degenerations of curves. Moreover we determine the complete system of hyperelliptic atomic fibers of genus 3.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2004
References
[1]
Arakawa, T. and Ashikaga, T., Local splitting families of hyperelliptic pencils I, Tôhoku Math. J., 53 (2001), 369–394.CrossRefGoogle Scholar
[2]
Accola, R.D.M., Topics in the Theory of Riemann Surface, Lecture Notes in Math., 1595 (1994), Splinger-Verlag, Berlin Heidelberg.Google Scholar
[3]
Atiyah, M. F., On analytic surfaces with double points, Proc. Roy. Soc., A 247 (1958), 237–244.Google Scholar
[4]
Endo, H., Meyer’s signature cocycle and hyperelliptic fibrations, Math. Ann., 316 (2000), 237–257.CrossRefGoogle Scholar
[5]
Horikawa, E., On deformations of quintic surfaces, Invent. Math., 31 (1975), 43–85.Google Scholar
[6]
Horikawa, E., On algebraic surfaces with pencils of curves of genus 2, In: Complex Analysis and Algebraic Geometry, a volume dedicated to K. Kodaira, pp. 79–90, Tokyo and Cambridge, Iwanami Shoten Publishers and Cambridge University Press, 1977.Google Scholar
[7]
Matsumoto, Y., Lefschetz fibrations of genus two - a topological approach, Proc. of the 37th Taniguchi symposium on topology and Teichmuller spaces held in Finland 1995, pp. 123–148, World Scientific
1996.Google Scholar
[8]
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
[9]
Matsumoto, Y. and Montesinos-Amilibia, J. M., Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces, Bull. Amer. Math. Soc., 30 (1994), 70–75.CrossRefGoogle Scholar
[10]
Lopes, M. Mendes, The relative canonical algebra for genus 3 fibrations, Thesis, Univ. of Warwick
1988.Google Scholar
[11]
Meyer, W., Die Signatur von Flächenbündeln, Math. Ann., 201 (1973), 239–264.CrossRefGoogle Scholar
[12]
Namba, M., Branched Coverings and Algebraic Functions, Research Notes in Math. 161, Pitman-Longman, 1987.Google Scholar
[13]
Nielsen, J., Surface transformation classes of algebraically finite type, Mat.-Fys. Medd. Danske Vid. Selsk., 21
1944, 3–89. English translation: in Collected Papers 2, Birkhäuser, 1986.Google Scholar
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