A stronger concept of K-stability
arXiv:0910.4617
Abstract
In this paper, by introducing a wider class of one-parameter group actions for test configurations, we have a stronger form of the definition of K-stability. This allows us to obtain some key step of my preceding work in proving that constant scalar curvature polarization implies K-stability for polarized algebraic manifolds.
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Cited by in corpus (21)
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- On the moduli of Kahler-Einstein Fano manifolds
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- A valuative criterion for uniform K-stability of -Fano varieties
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- Asymptotic Chow polystability in Kähler geometry
- K-stability of Fano manifolds with not small alpha invariants
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- Birational superrigidity and slope stability of Fano manifolds
- The interior regularity of the Calabi flow on a toric surface
- The Calabi conjecture and K-stability
- A splitting theorem for extremal Kaehler metrics