Equivariant Kodaira embedding of CR manifolds with circle action
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2016
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916187081801728 |
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| author | Hsiao, Chin-Yu Li, Xiaoshan Marinescu, George |
| author_facet | Hsiao, Chin-Yu Li, Xiaoshan Marinescu, George |
| contents | 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-Szegő 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1603_08872 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Equivariant Kodaira embedding of CR manifolds with circle action Hsiao, Chin-Yu Li, Xiaoshan Marinescu, George Complex Variables Differential Geometry 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-Szegő 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. |
| title | Equivariant Kodaira embedding of CR manifolds with circle action |
| topic | Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/1603.08872 |