Plane sextics via dessins d'enfants

Details Plane sextics via dessins d'enfants Plane sextics via dessins d'enfants

2008-12-17

arxiv.org/abs/0812.3258v2

Geometry & Topology, 14:1 (2010), 393--433

Mathematics

Algebraic Geometry

a few points clarified; final version accepted for publication

Scientific paper

We develop a geometric approach to the study of plane sextics with a triple
singular point. As an application, we give an explicit geometric description of
all irreducible maximal sextics with a type $\bold E_7$ singular point and
compute their fundamental groups. All groups found are finite; one of them is
nonabelian.

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