Test Configurations, Stabilities and Canonical Kaehler Metrics

Test Configurations, Stabilities and Canonical Kaehler Metrics

Complex Geometry by the Energy Method

Mabuchi, Toshiki

Springer Verlag, Singapore

03/2021

128

Mole

Inglês

9789811604997

15 a 20 dias

454

Descrição não disponível.
Introduction.- The Donaldson-Futaki invariant.- Canonical Kaehler metrics.- Norms for test configurations.- Stabilities for polarized algebraic manifolds.- The Yau-Tian-Donaldson conjecture.- Stability theorem.- Existence problem.- Canonical Kaehler metrics on Fano manifolds.- Geometry of pseudo-normed graded algebras.- Solutions.
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The Chow norm;The Donaldson-Futaki invariant for test configurations;K-stability;Existence problem of extremal metrics;The Yau-Tian-Donaldson conjecture