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Effective invariants of braid monodromy

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Artal Bartolo, Enrique y Carmona Ruber, Jorge y Cogolludo Agustín, José Ignacio (2007) Effective invariants of braid monodromy. Transactions of the American Mathematical Society, 359 (1). pp. 165-183. ISSN 0002-9947

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URL Oficial: http://www.ams.org/journals/tran/2007-359-01/S0002-9947-06-03881-5/S0002-9947-06-03881-5.pdf


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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Braid monodromy; Plane curve; Group representations.
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:21977
Depositado:19 Jun 2013 15:55
Última Modificación:02 Aug 2018 11:12

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