Communications in Analysis and Geometry
Volume 18 (2010)
Holomorphic versus algebraic equivalence for deformations of real-algebraic Cauchy–Riemann manifolds
Pages: 891 – 925
We consider (small) algebraic deformations of germs of real-algebraic 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.