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      Irreducible plane sextics with large fundamental groups

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      Author
      Degtyarev, A.
      Date
      2009
      Source Title
      Journal of the Mathematical Society of Japan
      Print ISSN
      0025-5645
      Electronic ISSN
      1881-1167
      Publisher
      Japan Society of Mathematical Education,Nippon Sugaku Kyoiku Gakkai
      Volume
      61
      Issue
      4
      Pages
      1131 - 1169
      Language
      English
      Type
      Article
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      Abstract
      We compute the fundamental group of the complement of each irreducible sextic of weight eight or nine (in a sense, the largest groups for irreducible sextics), as well as of 169 of their derivatives (both of and not of torus type). We also give a detailed geometric description of sextics of weight eight and nine and of their moduli spaces and compute their Alexander modules; the latter are shown to be free over an appropriate ring. © 2009 The Mathematical Society of Japan.
      Keywords
      Fundamental group
      Plane sextic
      Torus type
      Trigonal curve
      Permalink
      http://hdl.handle.net/11693/22599
      Published Version (Please cite this version)
      10.2969/jmsj/06141131
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      • Department of Mathematics 614
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