Test Configurations, Stabilities and Canonical Kähler Metrics Complex Geometry by the Energy Method
The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved cases of the conjecture will be...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
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Singapore :
Springer Singapore
2021.
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| Edición: | 1st ed |
| Colección: | Springer eBooks.
SpringerBriefs in Mathematics, |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b4555416x*spi |
| Sumario: | The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved cases of the conjecture will be discussed. It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds. Another important tool in our approach is the Chow norm introduced by Zhang. This is closely related to Ding's functional, and plays a crucial role in our differential geometric study of stability. By discussing the Chow norm from various points of view, we shall make a systematic study of the existence problem of extremal Kähler metrics. |
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| Descripción Física: | X, 128 páginas : 37 ilustraciones |
| Formato: | Forma de acceso: World Wide Web. |
| ISBN: | 9789811605000 |
