Existence of CR sections for high power of semi-positive generalized Sasakian CR line bundles over generalized Sasakian CR manifolds
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- 作者：Chin-Yu Hsiao (1)
- 关键词：Szeg枚 kernel asymptotics ; Bergman kernel asymptotics ; CR manifolds ; CR line bundles ; Complex variables ; CR Grauert鈥揜iemenschneider conjecture ; 32V30 ; 32W10 ; 32W25
- 刊名：Annals of Global Analysis and Geometry
- 出版年：2015
- 出版时间：January 2015
- 年：2015
- 卷：47
- 期：1
- 页码：13-62
- 全文大小：593 KB
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1. Institute of Mathematics, Academia Sinica, 6F, Astronomy-Mathematics Building, No.1, Sec.4, Roosevelt Road, Taipei, 10617, Taiwan - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Analysis
Statistics for Business, Economics, Mathematical Finance and Insurance
Mathematical and Computational Physics
Group Theory and Generalizations
Geometry - 出版者：Springer Netherlands
- ISSN：1572-9060
文摘
Let \(X\) be a compact generalized Sasakian CR manifold of dimension \(2n-1\) , \(n\geqslant 2\) , and let \(L\) be a generalized Sasakian CR line bundle over \(X\) equipped with a rigid semi-positive Hermitian fiber metric \(h^L\) . In this paper, we prove that if \(h^L\) is positive at some point of \(X\) and conditions \(Y(0)\) and \(Y(1)\) hold at each point of \(X\) , then \(L\) is big.