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

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

2011-06-16

arxiv.org/abs/1106.3151v1

Comm. Anal. Geom. 2010, Vol. 18 (5), 891-926

Mathematics

Complex Variables

Scientific paper

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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