Injective Analytic Maps - A Counterexample to the Proof
Algebraic Geometry
2007-05-23 v1
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:(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.
Cite
@article{arxiv.math/0409426,
title = {Injective Analytic Maps - A Counterexample to the Proof},
author = {Thomas Keilen and David Mond},
journal= {arXiv preprint arXiv:math/0409426},
year = {2007}
}