Geometric estimates for complex Monge-Ampère equations

Xin Fu, Bin Guo, Jian Song

Research output: Contribution to journalArticle

Abstract

We prove uniform gradient and diameter estimates for a family of geometric complex Monge-Ampère equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge-Ampère equations. We also prove a uniform diameter estimate for collapsing families of twisted Kähler-Einstein metrics on Kähler manifolds of nonnegative Kodaira dimensions.

Original languageEnglish (US)
JournalJournal fur die Reine und Angewandte Mathematik
DOIs
StateAccepted/In press - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Mathematics(all)

Fingerprint Dive into the research topics of 'Geometric estimates for complex Monge-Ampère equations'. Together they form a unique fingerprint.

  • Cite this