Interior Estimates for the $n$-dimensional Abreu's Equation
Bohui Chen, Qing Han, An-Min Li, Li Sheng
TL;DR
This paper investigates the solutions of Abreu's equation in n-dimensional polytopes, providing interior estimates under the assumption of uniform K-stability, which advances understanding in geometric analysis.
Contribution
It offers new interior estimates for solutions of Abreu's equation in higher dimensions under K-stability conditions, extending previous results.
Findings
Derived interior estimates for solutions
Established results under uniform K-stability
Extended analysis to n-dimensional polytopes
Abstract
We study the Abreu's equation in n-dimensional polytopes and derive interior estimates of solutions under the assumption of the uniform K-stability.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Waves and Solitons