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A note on the local Lipschitz triviality of values of complex polynomial functions

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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… Click to show full 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.

Keywords: triviality values; complex polynomial; triviality; note local; lipschitz triviality; local lipschitz

Journal Title: Mathematische Zeitschrift
Year Published: 2019

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