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.
|Number of pages||35|
|Journal||Communications in Analysis and Geometry|
|Publication status||Published - Dec 2010|
ASJC Scopus subject areas
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty