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arXiv · 1106.3151

Holomorphic versus algebraic equivalence for deformations of real-algebraic CR manifolds

Bernhard Lamel·Nordine Mir
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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.

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Bernhard Lamel, Nordine Mir. 2011-06-16. Holomorphic versus algebraic equivalence for deformations of real-algebraic CR manifolds. https://arxiv.org/abs/1106.3151

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