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Test Configurations, Stabilities and Canonical Kähler Metrics: Complex Geometry by the Energy Method

Test Configurations, Stabilities and Canonical Kähler Metrics: Complex Geometry by the Energy Method

Paperback

Series: Springerbriefs in Mathematics

General MathematicsGeometry

ISBN10: 9811604991
ISBN13: 9789811604997
Publisher: Springer Nature
Published: Mar 26 2021
Pages: 128
Weight: 0.45
Height: 0.30 Width: 6.14 Depth: 9.21
Language: English
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.

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Geometry