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A stability theorem for projective CR manifolds

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ABSTRACT We consider smooth deformations of the CR structure of a smooth 2-pseudoconcave compact CR submanifold of a reduced complex analytic variety outside the intersection with the support D of… Click to show full abstract

ABSTRACT We consider smooth deformations of the CR structure of a smooth 2-pseudoconcave compact CR submanifold of a reduced complex analytic variety outside the intersection with the support D of a Cartier divisor of a positive line bundle We show that nearby structures still admit projective CR embeddings. Special results are obtained under the additional assumptions that is a projective space or a Fano variety.

Keywords: stability theorem; theorem projective; projective manifolds

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2020

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