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arXiv · 2004.12967

A stability theorem for projective $CR$ manifolds

Judith Brinkschulte·C. Denson Hill·Mauro Nacinovich
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Abstract

We consider smooth deformations of the $CR$ structure of a smooth $2$-pseudoconcave compact $CR$ submanifold $\textsf{M}$ of a reduced complex analytic variety $\textsf{X}$ outside the intersection $D\,{\cap}\,\textsf{M}$ with the support $D$ of a Cartier divisor of a positive line bundle $\texttt{F}_{\textsf{X}}.$ We show that nearby structures still admit projective $CR$ embeddings. Special results are obtained under the additional assumptions that $\textsf{X}$ is a projective space or a Fano variety.

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BibTeXRIS

Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich. 2020-04-27. A stability theorem for projective $CR$ manifolds. https://arxiv.org/abs/2004.12967

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