A Note on the Local Lipschitz Triviality of Values of Complex Polynomial Functions
Mathematische Zeitschrift(2020)
Abstract
We address here the question of the bi-Lipschitz local triviality of a complex polynomial function over a complex value. Our main result states that a non constant complex polynomial admits a locally bi-Lipschitz trivial value if and only if it is a polynomial in one complex variable.
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Key words
Complex polynomials,Regular value,Bi-Lipschitz trivialization
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