Test configurations, stabilities and canonical kähler metrics: complex geometry by the energy method

Auteur : Mabuchi, Toshiki
Éditeur : Springer Verlag, Singapore
ISBN : 9789811604997
Date de publication : 26 mars 2021
Dimensions : 23,5 x 15,5 cm
Langue : Anglais
Pays d'origine : Singapour

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. 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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