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math.DGMay 4, 2013
1
citations (OpenAlex)
authors
  • Bohui Chen
  • Qing Han
  • An-Min Li
  • Li Sheng
institutions
  • Beijing International Studies University
  • Peking University
  • Peking University International Hospital
  • Sichuan University
  • University of Notre Dame
arXiv abstractPDF
paper

Interior Estimates for the n-dimensional Abreu's Equation

arXiv:1305.0872

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.

14 pages. Comments are welcome

References in corpus (7)

  • Interior estimates for solutions of Abreu's equation
  • K-stability and Kähler-Einstein metrics
  • Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof
  • Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
  • Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities
  • Affine techniques on extremal metrics on toric surfaces
  • Uniform K-stability for extremal metrics on toric varieties
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