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      Plane sextics via dessins d'enfants

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      Author
      Alex, D.
      Date
      2010
      Source Title
      Geometry and Topology
      Electronic ISSN
      1364-0380
      Publisher
      Geometry & Topology Publications
      Volume
      14
      Issue
      1
      Pages
      393 - 433
      Language
      English
      Type
      Article
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      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 E7 singular point and compute their fundamental groups. All groups found are finite; one of them is nonabelian.
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      http://hdl.handle.net/11693/22289
      Published Version (Please cite this version)
      http://dx.doi.org/10.2140/gt.2010.14.393
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      • Department of Mathematics 614
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