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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.
| Autorius: | George Marinescu, Xiaonan Ma, |
| Serija: | Progress in Mathematics |
| Leidėjas: | Birkhäuser Basel |
| Išleidimo metai: | 2007 |
| Knygos puslapių skaičius: | 440 |
| ISBN-10: | 3764380969 |
| ISBN-13: | 9783764380960 |
| Formatas: | 241 x 160 x 30 mm. Knyga kietu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Holomorphic Morse Inequalities and Bergman Kernels“
