### Abstract

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.

Original language | English |
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Pages (from-to) | 891-925 |

Number of pages | 35 |

Journal | Communications in Analysis and Geometry |

Volume | 18 |

Issue number | 5 |

Publication status | Published - Dec 2010 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Statistics and Probability
- Geometry and Topology
- Analysis
- Statistics, Probability and Uncertainty