Journal of Topology

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

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.

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

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This Article Abstract Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to My Personal Archive Download to citation manager Request Permissions Google Scholar Articles by Eyral, C. Articles by Oka, M. Search for Related Content Social Bookmarking          What's this?