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Holomorphic Morse Inequalities and Bergman Kernels (Progress in Mathematics)
Xiaonan Ma, George Marinescu
[PDF.yl69] Holomorphic Morse Inequalities and Bergman Kernels (Progress in Mathematics)
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| #3993236 in Books | Birkhäuser | 2007-09-14 | Original language:English | PDF # 1 | 1.06 x6.37 x9.27l,1.93 | File type: PDF | 422 pages | ||From the Back Cover||This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications. |Th
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, Kähler 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 Kähler manifold...
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