Test Configurations, Stabilities and Canonical Kähler Metrics
Language: English
Published by Springer Verlag, Singapore, SG, 2021
- Softcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
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Condition: New
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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.
Seller Inventory # LU-9789811604997
- Title
- Test Configurations, Stabilities and Canonical Kähler Metrics
- Author
- Toshiki Mabuchi
- Publisher
- Springer Verlag, Singapore, SG
- Publication year
- 2021
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 9811604991
- ISBN 13
- 9789811604997
- Edition
- 1st ed. 2021.
- Series
- Book 152 of 155: SpringerBriefs in Mathematics
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."Synopsis" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
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