Classical Zariski pairs
Author(s)
Date
2012Source Title
Journal of Knot Theory and its Ramifications
Print ISSN
0218-2165
Electronic ISSN
1793-6527
Volume
21
Issue
9
Language
English
Type
ArticleItem Usage Stats
128
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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.