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Holomorphic Morse inequalities and Bergman kernels

Holomorphic Morse inequalities and Bergman kernels
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
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