Injective Analytic Maps - A Counterexample to the Proof
Abstract
In Duke Math. J. 69, No.2, 335-347 (1993) the author translates a conjecture of Le Dung Trang on the non-existence of injective analytic maps f:(Cn,0)->(Cn+1,0) with df(0)=0 into the non-existence of a hypersurface germ in (Cn+1,0) with rather unexpected properties. However, the proof given there contains an apparently fatal error, as we demonstrate with an example.
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