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Test Configurations, Stabilities and Canonical Kähler Metrics: Complex Geometry by the Energy Method, Paperback/Toshiki Mabuchi

Name: Test Configurations, Stabilities and Canonical Kähler Metrics: Complex Geometry by the Energy Method, Paperback/Toshiki Mabuchi
Brand: Springer
SKU: 8bd634bad520e12ef8560fc534fb3514
Price: 396.99 RON
Availability: InStock

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elefant.ro

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396.99 Lei

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Foreign Books

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Springer

Produs actualizat în urmă cu 11 zile

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Brand: Springer
Categoria: Foreign Books
Magazin: elefant.ro
Ultima actualizare: 13-07-2026 00:25:33

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Descriere magazin:
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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