Whitney theorem for complex polynomial mappings
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DOI: 10.1007/s00209-019-02370-1
Abstract: We describe the topology of a general polynomial mapping $F=(f, g):X\to\Bbb C^2$, where $X$ is a complex plane or a complex sphere. read more here.
Keywords: theorem complex; topology; whitney theorem; polynomial mappings ... See more keywords
A note on the local Lipschitz triviality of values of complex polynomial functions
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DOI: 10.1007/s00209-020-02474-z
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… read more here.
Keywords: triviality values; complex polynomial; triviality; note local ... See more keywords
Critical Values and Moduli of the Derivative of a Complex Polynomial at its Zeros
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DOI: 10.1007/s10958-017-3503-4
Abstract: Under some constraints on the critical values of an algebraic polynomial with complex coefficients, a sharp inequality for the product of certain powers of moduli of its derivative at its zeros is established. The equality… read more here.
Keywords: critical values; moduli derivative; complex polynomial; values moduli ... See more keywords