A plane sextic with finite fundamental group

Details A plane sextic with finite fundamental group A plane sextic with finite fundamental group

2007-11-20

arxiv.org/abs/0711.3067v1

Proceedings of Niigata--Toyama Conferences 2007, Adv. Stud. Pure Math. 56 (2009), 93--108

Mathematics

Algebraic Geometry

Scientific paper

We analyze irreducible plane sextics whose fundamental group factors to
$D_{14}$. We produce explicit equations for all curves and show that, in the
simplest case of the set of singularities $3A_6$, the group is $D_{14}\times
Z_3$.

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