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In the article “Distinguished varieties”, Lemma 4.6 was incorrect. We prove a different lemma that can then be used to prove the original Theorem 4.1.

In the first part of this paper are considered real polynomials$P$(ζ), ζ∈$R$^{n}, complete and nondegenerate in the sense that there is a set of (even) multi-indices α^{$j$},$j$=1,...,$N$, such that, for |ζ|>$K$, ζ real, $$cP(\xi ) \leqslant \sum {\xi ^{\alpha j} } \leqslant CP(\xi ).$$ (See V. P. Mihailov,$Soviet Math. Dokl. 164$(1965), MR 32: 6047).

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