Invariants of combinatorial line arrangements and Rybnikov's example



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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. 1-34. ISBN 9784931469327

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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.

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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