Effective invariants of braid monodromy
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- by Enrique Artal Bartolo, Jorge Carmona Ruber and José Ignacio Cogolludo Agustín PDF
- Trans. Amer. Math. Soc. 359 (2007), 165-183 Request permission
Abstract:
In this paper we construct new invariants of algebraic curves based on (not necessarily generic) braid monodromies. Such invariants are effective in the sense that their computation allows for the study of Zariski pairs of plane curves. Moreover, the Zariski pairs found in this work correspond to curves having conjugate equations in a number field, and hence are not distinguishable by means of computing algebraic coverings. We prove that the embeddings of the curves in the plane are not homeomorphic. We also apply these results to the classification problem of elliptic surfaces.References
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Additional Information
- Enrique Artal Bartolo
- Affiliation: Departamento de Matemáticas, Campus Plaza de San Francisco s/n, E-50009 Zara- goza, Spain
- Email: artal@unizar.es
- Jorge Carmona Ruber
- Affiliation: Departamento de Sistemas Informáticos y Programación, Universidad Complutense, Ciudad Universitaria s/n, E-28040 Madrid, Spain
- Email: jcarmona@sip.ucm.es
- José Ignacio Cogolludo Agustín
- Affiliation: Departamento de Matemáticas, Campus Plaza de San Francisco s/n, E-50009 Zara- goza, Spain
- Email: jicogo@unizar.es
- Received by editor(s): January 26, 2004
- Received by editor(s) in revised form: October 13, 2004
- Published electronically: August 16, 2006
- Additional Notes: The first and third authors were partially supported by MTM2004-08080-C02-02. The second author was partially supported by MTM2004-08080-C02-01
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 165-183
- MSC (2000): Primary 14D05, 14H30, 14H50, 68W30
- DOI: https://doi.org/10.1090/S0002-9947-06-03881-5
- MathSciNet review: 2247887