Affiliation:
1. Department of Mathematics, Bilkent University, 06533 Ankara, Turkey
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
1 articles.
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1. Geography of irreducible plane sextics;Proceedings of the London Mathematical Society;2015-11-23