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Invariants of combinatorial line arrangements and Rybnikov's example

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Artal Bartolo, Enrique y Carmona Ruber, Jorge y Cogolludo Agustín, José Ignacio y Marco Buzunáriz, Miguel ángel (2006) Invariants of combinatorial line arrangements and Rybnikov's example. In Singularity theory and its applications. Advanced studies in pure mathematics (43). Mathematical Society of Japan, Japan, pp. 1-34. ISBN 9784931469327

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URL Oficial: http://www.mathbooks.org/aspm/aspm43/aspm43.pdf


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http://arxiv.org/pdf/math/0403543v1.pdfInstitución


Resumen

Following the general strategy proposed by G.Rybnikov, we present a proof of his well-known result, that is, the existence of two arrangements of lines having the same combinatorial type, but nonisomorphic fundamental groups. To do so, the Alexander Invariant and certain invariants of combinatorial line arrangements are presented and developed for combinatorics with only double and triple points. This is part of a more general project to better understand
the relationship between topology and combinatorics of line arrangements.


Tipo de documento:Sección de libro
Palabras clave:Line arrangements; Alexander Invariant
Materias:Ciencias > Matemáticas > Geometría
Código ID:22048
Depositado:21 Jun 2013 16:19
Última Modificación:02 Aug 2018 11:21

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