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Test Configurations, Stabilities and Canonical Kahler Metrics
- Complex Geometry by the Energy Method
Engelsk
Bogcover for Test Configurations, Stabilities and Canonical Kahler Metrics af Toshiki Mabuchi, 9789811604997
Specifikationer
Sprog:
Engelsk
Sider:
128
ISBN-13:
9789811604997
Indbinding:
Paperback
ISBN-10:
9811604991
Udg. Dato:
26 mar 2021
Størrelse i cm:
23,3 x 15,5 x 1,2
Oplagsdato:
26 mar 2021
Forfatter(e):

Test Configurations, Stabilities and Canonical Kahler Metrics

- Complex Geometry by the Energy Method
Engelsk
Paperback 2021
Format:

Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
128
ISBN-13:
9789811604997
Indbinding:
Paperback
ISBN-10:
9811604991
Udg. Dato:
26 mar 2021
Størrelse i cm:
23,3 x 15,5 x 1,2
Oplagsdato:
26 mar 2021
Forfatter(e):
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