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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Pencils and infinite dihedral covers of $ \mathbb{P}^2$


Authors: Enrique Artal Bartolo, José Ignacio Cogolludo and Hiro-o Tokunaga
Journal: Proc. Amer. Math. Soc. 136 (2008), 21-29
MSC (2000): Primary 14H30, 14B05
Published electronically: October 18, 2007
MathSciNet review: 2350384
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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 $ C$, infinite dihedral covers, and pencils of curves containing $ C$.


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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: http://dx.doi.org/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
Published electronically: 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
Article copyright: © Copyright 2007 American Mathematical Society