On irreducible sextics with non-abelian fundamental group

Details On irreducible sextics with non-abelian fundamental group On irreducible sextics with non-abelian fundamental group

2007-11-20

arxiv.org/abs/0711.3070v1

Proceedings of Niigata--Toyama Conferences 2007, Adv. Stud. Pure Math. 56 (2009), 65--92

Mathematics

Algebraic Geometry

Scientific paper

We calculate the fundamental groups $\pi=\pi_1(P^2\setminus B)$ for all
irreducible plane sextics $B\subset\P^2$ with simple singularities for which
$\pi$ is known to admit a dihedral quotient $D_{10}$. All groups found are
shown to be finite, two of them being of large order: 960 and 21600.

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