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Funktsional'nyi Analiz i ego Prilozheniya, 2011, Volume 45, Issue 2, Pages 71–85
DOI: https://doi.org/10.4213/faa3025 (Mi faa3025) 		 
This article is cited in 39 scientific papers (total in 39 papers)

On the Fundamental Group of the Complement of a Complex Hyperplane Arrangement

G. L. Rybnikov

National Research University "Higher School of Economics"
Full-text PDF (265 kB) Citations (39)
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DOI: https://doi.org/10.4213/faa3025
Abstract: We construct two combinatorially equivalent line arrangements in the complex projective plane such that the fundamental groups of their complements are not isomorphic. The proof uses a new invariant of the fundamental group of the complement to a line arrangement of a given combinatorial type with respect to isomorphisms inducing the canonical isomorphism of the first homology groups.
Keywords: hyperplane arrangement, matroid, homology groups, fundamental group, lower central series.
Received: 11.01.2010
English version:
Functional Analysis and Its Applications, 2011, Volume 45, Issue 2, Pages 137–148
DOI: https://doi.org/10.1007/s10688-011-0015-8
Bibliographic databases:
Document Type: Article
UDC: 514.14+515.146.27
Language: Russian
Citation: G. L. Rybnikov, “On the Fundamental Group of the Complement of a Complex Hyperplane Arrangement”, Funktsional. Anal. i Prilozhen., 45:2 (2011), 71–85; Funct. Anal. Appl., 45:2 (2011), 137–148
Citation in format AMSBIB
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    • This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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