Plane sextics via dessins d’enfants

Degtyarev, Alex¹

¹ Department of Mathematics, Bilkent University, 06800 Ankara, Turkey

Geometry & topology, Tome 14 (2010) no. 1, pp. 393-433.

Résumé

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 $E_7$ singular point and compute their fundamental groups. All groups found are finite; one of them is nonabelian.

Détail

DOI : 10.2140/gt.2010.14.393

Keywords: plane sextic, fundamental group, trigonal curve, dessin d'enfant

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