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      Classical Zariski pairs

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      Author
      Akyol, A.
      Date
      2012
      Journal Title
      Journal of Knot Theory and its Ramifications
      ISSN
      0218-2165
      Volume
      21
      Issue
      9
      Language
      English
      Type
      Article
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      Please cite this item using this persistent URL
      http://hdl.handle.net/11693/21380
      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.
      Published as
      http://dx.doi.org/10.1142/S0218216512500915
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      • Department of Mathematics 540

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