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Holomorphic Morse inequalities and Bergman kernels
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Catalogue Information
Field name
Details
Dewey Class
516.362 (DDC 22)
Title
Holomorphic Morse inequalities and Bergman kernels ([Ebook]) / by Xiaonan Ma, George Marinescu
Author
Ma, Xiaonan
Added Personal Name
Marinescu, George
Other name(s)
SpringerLink (Online service)
Publication
Basel : Birkhäuser , 2007
Physical Details
v.: digital
Series
Progress in mathematics
; 254
ISBN
9783764381158
Summary Note
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.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-7643-8115-8
Links to Related Works
Subject References:
Differential equations, Partial
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Holomorphic functions
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Morse theory Bergman kernel functions
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Symplectic manifolds
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Variational inequalities (Mathematics)
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Authors:
Ma, Xiaonan
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Marinescu, George
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Corporate Authors:
SpringerLink (Online service)
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Series:
Progress in mathematics
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Classification:
516.362 (DDC 22)
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