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Holomorphic Morse Inequalities and Bergman Kernels

Gebonden Engels 2007 9783764380960
€ 144,99
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Samenvatting

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 manifolds of pinched negative curvature, Berezin-Toeplitz quantization, weak Lefschetz theorems, and asymptotics of the Ray-Singer analytic torsion.

Specificaties

ISBN13:9783764380960
Taal:Engels
Bindwijze:gebonden
Uitgever:Birkhäuser Basel

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Inhoudsopgave

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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€ 144,99
Levertijd ongeveer 9 werkdagen
Gratis verzonden

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          Holomorphic Morse Inequalities and Bergman Kernels