Equivariant Kodaira embedding of CR manifolds with circle action
Complex Variables
2024-04-02 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1603.08872,
title = {Equivariant Kodaira embedding of CR manifolds with circle action},
author = {Chin-Yu Hsiao and Xiaoshan Li and George Marinescu},
journal= {arXiv preprint arXiv:1603.08872},
year = {2024}
}
Comments
40 pages. Corollary 1.6 in the first version is not correct. In this version, we corrected this mistake and added some references. arXiv admin note: text overlap with arXiv:1401.6647