Volume 14, issue 1 (2010)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Other MSP Journals
Plane sextics via dessins d'enfants

Alex Degtyarev

Geometry & Topology 14 (2010) 393–433
Abstract

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.

Keywords
plane sextic, fundamental group, trigonal curve, dessin d'enfant
Mathematical Subject Classification 2000
Primary: 14H45
Secondary: 14H30, 14H50