On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions
Xiaojun Huang (1994)
Annales de l'institut Fourier
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In this paper, we show that if and are algebraic real hypersurfaces in (possibly different) complex spaces of dimension at least two and if is a holomorphic mapping defined near a neighborhood of so that , then is also algebraic. Our proof is based on a careful analysis on the invariant varieties and reduces to the consideration of many cases. After a slight modification, the argument is also used to prove a reflection principle, which allows our main result to be stated for...