Fundamental groups of symmetric sextics. II

preprint2008arXivOpen access

Abstract

We study the moduli spaces and compute the fundamental groups of plane sextics of torus type with the set of inner singularities 2A82\bold{A}_8 or A17\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., Z2∗Z3\Bbb{Z}_2*\Bbb{Z}_3 and Z6\Bbb{Z}_6, respectively.

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