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oai:docta.ucm.es:20.500.14352/532682023-09-07T16:30:52Zcom_20.500.14352_14col_20.500.14352_21

00925njm 22002777a 4500 dc Artal Bartolo, Enrique author Carmona Ruber, Jorge author Cogolludo Agustín, José Ignacio author Marco Buzunáriz, Miguel ángel author 2006 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. 9784931469327 https://hdl.handle.net/20.500.14352/53268 http://www.mathbooks.org/aspm/aspm43/aspm43.pdf http://arxiv.org/pdf/math/0403543v1.pdf Invariants of combinatorial line arrangements and Rybnikov's example