Oka's conjecture on irreducible plane sextics

Details Oka's conjecture on irreducible plane sextics Oka's conjecture on irreducible plane sextics

2007-01-24

arxiv.org/abs/math/0701671v2

J. London Math. Soc., 78:2 (2008), 329--351

Mathematics

Algebraic Geometry

Final version accepted for publication

Scientific paper

10.1112/jlms/jdn029

We partially prove and partially disprove Oka's conjecture on the fundamental
group/Alexander polynomial of an irreducible plane sextic. Among other results,
we enumerate all irreducible sextics with simple singularities admitting
dihedral coverings and find examples of Alexander equivalent Zariski pairs of
irreducible sextics.

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