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arXiv · 1907.08493

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

Alexandre Fernandes·Vincent Grandjean·Humberto Soares
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Abstract

We address the question of the bi-Lipschitz local triviality of a complex polynomial function over a complex value. Our main result state that a non constant complex polynomial admits a locally bi-Lipschitz trivial value if and only if it is a polynomial in a single complex variable.

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Alexandre Fernandes, Vincent Grandjean, Humberto Soares. 2019-07-19. A note on the local Lipschitz triviality of values of complex polynomial functions. https://arxiv.org/abs/1907.08493

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