Relative Ding and K-stability of toric Fano manifolds in low dimensions
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Publication:6040470
DOI10.1007/s40879-023-00617-0zbMath1517.32072arXiv1712.01131OpenAlexW4366682217MaRDI QIDQ6040470
Naoto Yotsutani, Shunsuke Saito, Yasufumi Nitta
Publication date: 17 May 2023
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.01131
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fano varieties (14J45) Notions of stability for complex manifolds (32Q26)
Related Items
Corrigenda to: ``Relative algebro-geometric stabilities of toric manifolds ⋮ Examples of relatively Ding unstable Calabi dream manifolds
Cites Work
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- K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
- Normaliz: Algorithms for affine monoids and rational cones
- Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
- The classification of Fano 3-folds with torus embeddings
- Convexity properties of the moment mapping
- On the classification of toric Fano 4-folds
- Bilinear forms and extremal Kähler vector fields associated with Kähler classes
- Toward the classification of higher-dimensional toric Fano varieties
- Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
- Scalar curvature and stability of toric varieties.
- On existence of Kähler metrics with constant scalar curvature
- Relative Ding stability and an obstruction to the existence of Mabuchi solitons
- Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers
- Finite generation for valuations computing stability thresholds and applications to K-stability
- Relative algebro-geometric stabilities of toric manifolds
- Convexity properties of the moment mapping. II
- A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
- The Kähler geometry of Bott manifolds
- K-stability of Fano spherical varieties
- Extremal metrics and K-stability
- 𝐾-stability on toric manifolds
- Convexity and Commuting Hamiltonians
- Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
- Existence of Extremal Metrics on Compact Almost homogeneous Kahler Manifolds with Two Ends
- A variational approach to the Yau–Tian–Donaldson conjecture
- The Ding Functional, Berndtsson Convexity and Moment Maps
- Mabuchi Solitons and Relative Ding Stability of Toric Fano Varieties
- Kähler-Einstein metrics for manifolds with nonvanishing Futaki character
- On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations
