2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76476We prove that a germ of a holomorphic map $f$ between $C^n$ and $C^{n'}$ sending one real-algebraic submanifold $M\subset C^n$ into another $M'\subset C^{n'}$ is algebraic provided $M'$ contains no complex-analytic discs and $M$ is generic and minimal. We also propose an algorithm for finding complex-analytic discs in a real submanifold.12 pages An algorithm for finding complex-analytic discs in a real submanifold is addedComplex Variables32B10; 32C07; 32C16; 32D15; 32H02Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spacestext