Pencils and infinite dihedral covers of $\mathbb {P}^2$
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- by Enrique Artal Bartolo, José Ignacio Cogolludo and Hiro-o Tokunaga PDF
- Proc. Amer. Math. Soc. 136 (2008), 21-29 Request permission
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 $C$.References
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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
- 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
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 21-29
- MSC (2000): Primary 14H30, 14B05
- DOI: https://doi.org/10.1090/S0002-9939-07-08965-4
- MathSciNet review: 2350384