Asymptotics of the Bergman Kernel for Positive Line Bundles

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/88390

Title:	Asymptotics of the Bergman Kernel for Positive Line Bundles
Authors:	曾遠涵;Tseng, Yuan-Han
Contributors:	數學系
Keywords:	Bergman kernel;Bergman kernel
Date:	2022-06-15
Issue Date:	2022-07-14 01:09:15 (UTC+8)
Publisher:	國立中央大學
Abstract:	基於 Charles 以及 Berman, Berndtsson 和 Sj\"{o}strand 的論文，我們展示了一個在$L^k$上 Bergman kernel 漸近展開式的證明，其中$L$是緊緻的凱勒流形上的正線叢。最後我們給出了在複射影空間上的 Bergman kernel 漸進展開式的詳細計算。;We present a proof of an asymptotic expansion in power of $k$ on the Bergman kernel to $L^k$, where $L$ is a positive line bundle over a compact K\"{a}hler manifold, based on the papers of Charles and Berman, Berndtsson and Sj\"{o}strand. We give an explicit computation of the Bergman kernel on complex projective spaces.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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