On the existence and nonexistence of extremal metrics on toric Kähler surfaces
From MaRDI portal
Publication:631818
DOI10.1016/j.aim.2010.12.008zbMath1220.53088OpenAlexW2035980553MaRDI QIDQ631818
Publication date: 14 March 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2010.12.008
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25)
Related Items (12)
THE STRUCTURE OF THE SPACE OF AFFINE KÄHLER CURVATURE TENSORS AS A COMPLEX MODULE ⋮ Variational solutions to extremal metrics on toric surfaces ⋮ On K-stability of finite covers ⋮ Relative algebro-geometric stabilities of toric manifolds ⋮ The Kähler geometry of Bott manifolds ⋮ Notes on K-Semistability of Toric Polarized Varieties ⋮ A note on blow-ups of toric surfaces and csc Kähler metrics ⋮ Uniform K-stability for extremal metrics on toric varieties ⋮ Toric surfaces, \(K\)-stability and Calabi flow ⋮ On the Existence Problem of Einstein–Maxwell Kähler Metrics ⋮ The stabilities of \(\mathbb{C} P^2 {\#} \overline{2 \mathbb{C} P^2} \) ⋮ Unstable polarized del Pezzo surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Extremal metrics on blowups
- Extremal metrics on toric surfaces: a continuity method
- Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
- Relative K-stability and modified K-energy on toric manifolds
- Constant scalar curvature metrics on toric surfaces
- Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
- Stability of vector bundles and extremal metrics
- The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group
- Extremal Kähler metrics and complex deformation theory
- Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
- Kähler-Einstein metrics with positive scalar curvature
- Scalar curvature and stability of toric varieties.
- An obstruction to the existence of Einstein Kaehler metrics
- Kähler--Ricci solitons on toric manifolds with positive first Chern class
- Unstable products of smooth curves
- Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. IV
- On conformally Kähler, Einstein manifolds
- Lectures on Stability and Constant Scalar Curvature
- Introduction to Toric Varieties. (AM-131)
- Extremal metrics and K-stability
- 𝐾-stability on toric manifolds
- Unstable blowups
- Hamiltoniens périodiques et images convexes de l'application moment
- KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
- The Monge-Ampère equation
This page was built for publication: On the existence and nonexistence of extremal metrics on toric Kähler surfaces