Injective Analytic Maps - A Counterexample to the Proof

Details Injective Analytic Maps - A Counterexample to the Proof Injective Analytic Maps - A Counterexample to the Proof

2004-09-22

arxiv.org/abs/math/0409426v1

Mathematics

Algebraic Geometry

Scientific paper

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:(C^n,0)->(C^{n+1},0) with df(0)=0 into the non-existence of a hypersurface
germ in (C^{n+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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