Towards Topological Classification of Univariate Complex Polynomials

Alexander Zvonkin ()
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Alexander Zvonkin: LaBRI, Université Bordeaux I

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 76-87 from Springer

Abstract: Abstract The study of the topological classification of complex polynomials began in the XIX-th century by Luroth (1871), Clebsch (1873) and Hurwitz (1891). However, very few things are known today about the problem. A vast computer experiment allowed us to achieve a classification of all the polynomials up to degree 11 (until 1996, such a classification was known up to degree 6). These new data change entirely the global view of the problem and permit to formulate some plausible conjectures that may eventually lead to a solution of the problem.

Date: 2000
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DOI: 10.1007/978-3-662-04166-6_7

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