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Journal of Topology Advance Access originally published online on July 21, 2009
Journal of Topology 2009 2(3):423-441; doi:10.1112/jtopol/jtp017
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© 2009 London Mathematical Society

Alexander-equivalent Zariski pairs of irreducible sextics

Christophe Eyral

Department of Mathematical Sciences, University of Aarhus, Building 1530, Ny Munkegade, DK-8000 Aarhus C, Denmark, eyralchr@yahoo.com

Mutsuo Oka

Department of Mathematics, Tokyo University of Science, 26 Wakamiya-cho, Shinjuku-ku, Tokyo 162-8601, Japan, oka@rs.kagu.tus.ac.jp


  Abstract

The existence of Alexander-equivalent Zariski pairs dealing with irreducible curves of degree 6 was proved by Degtyarev. However, no explicit example of such a pair is available (only the existence is known) in the literature. In this paper, we construct the first concrete example.

Received October 27, 2008.

2000 Mathematics Subject Classification 14H30, (14H20, 14H45, 14H50)


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