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VOL. 43 | 2006 Invariants of combinatorial line arrangements and Rybnikov's example
Enrique Artal Bartolo, Jorge Carmona Ruber, José Ignacio Cogolludo Agustín, Miguel Ángel Marco Buzunáriz

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Hiroo Tokunaga, Ichiro Shimada, Takasi Sano


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.


Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1135.32025
MathSciNet: MR2313406

Digital Object Identifier: 10.2969/aspm/04310001

Rights: Copyright © 2006 Mathematical Society of Japan


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