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Oka's conjecture on irreducible plane sextics
Authors:Degtyarev  Alex
Institution:Department of Mathematics
Bilkent University
06800 Ankara
Turkey
Abstract:We partially prove and partially disprove Oka's conjecture onthe fundamental group/Alexander polynomial of an irreducibleplane sextic. Among other results, we enumerate all irreduciblesextics with simple singularities admitting dihedral coveringsand find examples of Alexander equivalent Zariski pairs of irreduciblesextics.
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