Holomorphic versus algebraic equivalence for deformations of real-algebraic CR manifolds
Complex Variables
2011-06-17 v1 Algebraic Geometry
Abstract
We consider (small) algebraic deformations of germs of real-algebraic CR 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.
Keywords
Cite
@article{arxiv.1106.3151,
title = {Holomorphic versus algebraic equivalence for deformations of real-algebraic CR manifolds},
author = {Bernhard Lamel and Nordine Mir},
journal= {arXiv preprint arXiv:1106.3151},
year = {2011}
}