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arXiv · 1603.08872

Equivariant Kodaira embedding of CR manifolds with circle action

Chin-Yu Hsiao·Xiaoshan Li·George Marinescu
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Abstract

We consider a compact CR manifold with a transversal CR locally free circle action endowed with a rigid positive CR line bundle. We prove that a certain weighted Fourier-Szeg\H{o} kernel of the CR sections in the high tensor powers admits a full asymptotic expansion. As a consequence, we establish an equivariant Kodaira embedding theorem.

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Chin-Yu Hsiao, Xiaoshan Li, George Marinescu. 2016-03-29. Equivariant Kodaira embedding of CR manifolds with circle action. https://arxiv.org/abs/1603.08872

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