Holomorphic Morse inequalities and Bergman kernels
著者
書誌事項
Holomorphic Morse inequalities and Bergman kernels
（Progress in mathematics, v. 254）
Birkhäuser, c2007
- タイトル別名
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Ferran Sunyer i Balaguer Award winning monograph
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注記
Includes bibliographical references (p. [399]-414) and index
内容説明・目次
内容説明
This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. It opens perspectives on several active areas of research in complex, Kahler and symplectic geometry. A large number of applications are also included, such as an analytic proof of Kodaira's embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, compactification of complete Kahler manifolds of pinched negative curvature, Berezin-Toeplitz quantization, weak Lefschetz theorems, and asymptotics of the Ray-Singer analytic torsion.
目次
Demailly's Holomorphic Morse Inequalities.- Characterization of Moishezon Manifolds.- Holomorphic Morse Inequalities on Non-compact Manifolds.- Asymptotic Expansion of the Bergman Kernel.- Kodaira Map.- Bergman Kernel on Non-compact Manifolds.- Toeplitz Operators.- Bergman Kernels on Symplectic Manifolds.
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