Interior regularity on the Abreu equation

DOI10.1007/s10114-012-0217-xzbMath1261.53071arXiv1008.2592OpenAlexW2011030589MaRDI QIDQ1942644

Bo Hui Chen, An-Min Li, Li Sheng

Publication date: 19 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2592

zbMATH Keywords

toric geometryinterior estimatesAbreu equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (5)

Extremal metrics on toric surfaces ⋮ Affine techniques on extremal metrics on toric surfaces ⋮ Interior estimates for the \(n\)-dimensional Abreu's equation ⋮ Uniform K-stability for extremal metrics on toric varieties ⋮ The stabilities of \(\mathbb{C} P^2 {\#} \overline{2 \mathbb{C} P^2} \)

Cites Work

• The Abreu equation with degenerated boundary conditions
• Kähler-Ricci solitons on toric Fano orbifolds
• Minimizing weak solutions for Calabi's extremal metrics on toric manifolds
• Extremal metrics on toric surfaces: a continuity method
• Constant scalar curvature metrics on toric surfaces
• Geometry of Kähler metrics and foliations by holomorphic discs
• Kaehler structures on toric varieties
• Kähler-Einstein metrics with positive scalar curvature
• Scalar curvature and projective embeddings. I
• The Bernstein problem for affine maximal hypersurfaces
• Scalar curvature and stability of toric varieties.
• Interior estimates for solutions of Abreu equation
• Properties of the solutions of the linearized Monge-Ampere equation
• Scalar curvature and projective embeddings, II
• Hamiltoniens périodiques et images convexes de l'application moment
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• UNIQUENESS OF EXTREMAL KÄHLER METRICS FOR AN INTEGRAL KÄHLER CLASS
• The Monge-Ampère equation

This page was built for publication: Interior regularity on the Abreu equation