Holomorphic versus algebraic equivalence for deformations of real-algebraic Cauchy–Riemann manifolds

摘要

We consider (small) algebraic deformations of germs of realalgebraic Cauchy–Riemann submanifolds in complex space and study the biholomorphic equivalence problem for such deformations. We show that two algebraic deformations of minimal holomorphically nondegenerate real-algebraic CR submanifolds are holomorphically equivalent if and only if they are algebraically equivalent.