Fundamental groups of symmetric sextics. II

Details Fundamental groups of symmetric sextics. II Fundamental groups of symmetric sextics. II

2008-05-15

arxiv.org/abs/0805.2277v1

Proc. London Math. Soc., 99:2 (2009), 353--385

Mathematics

Algebraic Geometry

Scientific paper

10.1112/plms/pdp003

We study the moduli spaces and compute the fundamental groups of plane
sextics of torus type with the set of inner singularities $2\bold{A}_8$ or
$\bold{A}_{17}$. We also compute the fundamental groups of a number of other
sextics, both of and not of torus type. The groups found are simplest possible,
i.e., $\Bbb{Z}_2*\Bbb{Z}_3$ and $\Bbb{Z}_6$, respectively.

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