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Pencils and infinite dihedral covers of 
Author(s):
Enrique
Artal
Bartolo;
José
Ignacio
Cogolludo;
Hiro-o
Tokunaga
Journal:
Proc. Amer. Math. Soc.
136
(2008),
21-29.
MSC (2000):
Primary 14H30, 14B05
Posted:
October 18, 2007
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Abstract:
In this work we study the connection between the existence of finite dihedral covers of the projective plane ramified along an algebraic curve  , infinite dihedral covers, and pencils of curves containing  .
References:
-
- 1.
- E. Artal, J. Carmona, J.I. Cogolludo, and H. Tokunaga, Sextics with singular points in special position, J. Knot Theory Ramifications 10 (2001), no. 4, 547-578. MR 1831676 (2002c:14047)
- 2.
- E. Artal, J.I. Cogolludo-Agustín and H. Tokunaga: Nodal degenerations of plane curves and Galois covers, preprint, 2004.
- 3.
- E. Brieskorn: Über die Auflösung gewisser Singularitäten von holomorpher Abbildungen, Math. Ann. 166 (1966), 76-102. MR 0206973 (34:6789)
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- 6.
- E. Horikawa: On deformation of quintic surfaces, Invent. Math. 31 (1975), 43-85.
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- 8.
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- 9.
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Additional Information:
Enrique
Artal
Bartolo
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, Campus Plaza San Francisco s/n, E-50009 Zaragoza, Spain
Email:
artal@unizar.es
José
Ignacio
Cogolludo
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, Campus Plaza San Francisco s/n, E-50009 Zaragoza, Spain
Email:
jicogo@unizar.es
Hiro-o
Tokunaga
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Minamiohsawa Hachoji, 192-0357 Tokyo, Japan
Email:
tokunaga@comp.metro-u.ac.jp
DOI:
10.1090/S0002-9939-07-08965-4
PII:
S 0002-9939(07)08965-4
Keywords:
Galois cover,
degeneration of curves
Received by editor(s):
October 20, 2005
Received by editor(s) in revised form:
August 23, 2006
Posted:
October 18, 2007
Additional Notes:
The research of the first and second authors was partially supported by BFM2001-1488-C02-02
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2007,
American Mathematical Society
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