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Artal Bartolo, Enrique and Carmona Ruber, Jorge and Cogolludo Agustín, José Ignacio and 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. 134. ISBN 9784931469327

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Official URL: http://www.mathbooks.org/aspm/aspm43/aspm43.pdf
URL  URL Type 

http://arxiv.org/pdf/math/0403543v1.pdf  Organisation 
Abstract
Following the general strategy proposed by G.Rybnikov, we present a proof of his wellknown 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.
Item Type:  Book Section 

Uncontrolled Keywords:  Line arrangements; Alexander Invariant 
Subjects:  Sciences > Mathematics > Geometry 
ID Code:  22048 
Deposited On:  21 Jun 2013 16:19 
Last Modified:  22 Feb 2019 13:10 
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