Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces · arXivDeskAbstract
We prove that a germ of a holomorphic map f between Cn and Cn′ sending one real-algebraic submanifold M⊂Cn
into another
M′⊂Cn′ is algebraic provided
contains no complex-analytic discs and
is generic and minimal. We also propose an algorithm for finding complex-analytic discs in a real submanifold.