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      Classical Zariski pairs

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      Author(s)
      Akyol, A.
      Date
      2012
      Source Title
      Journal of Knot Theory and its Ramifications
      Print ISSN
      0218-2165
      Electronic ISSN
      1793-6527
      Volume
      21
      Issue
      9
      Language
      English
      Type
      Article
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      Abstract
      We enumerate and classify up to equisingular deformation all irreducible plane sextics constituting the so called classical Zariski pairs. In most cases we obtain two deformation families, called abundant and non-abundant. Four sets of singularities are realized by abundant sextics only, and one exceptional set of singularities is realized by three families, one abundant and two complex conjugate non-abundant. This exceptional set of singularities has submaximal total Milnor number 18. © 2012 World Scientific Publishing Company.
      Keywords
      Plane sextic
      Singularity
      Zariski pair
      Permalink
      http://hdl.handle.net/11693/21380
      Published Version (Please cite this version)
      http://dx.doi.org/10.1142/S0218216512500915
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      • Department of Mathematics 653
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