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      Zariski k-plets via dessins d ' enfants

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      Author
      Degtyarev, A.
      Date
      2009
      Source Title
      Commentarii Mathematici Helvetici
      Print ISSN
      0010-2571
      Volume
      84
      Issue
      3
      Pages
      639 - 671
      Language
      English
      Type
      Article
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      Abstract
      We construct exponentially large collections of pairwise distinct equisingular deformation families of irreducible plane curves sharing the same sets of singularities. The fundamental groups of all curves constructed are abelian. © Swiss Mathematical Society.
      Keywords
      Braid monodromy
      Dessin d'enfants
      Trigonal curve
      Zariski pair
      Permalink
      http://hdl.handle.net/11693/22663
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      • Department of Mathematics 614
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