<p>This is a continuation of our previous work on quantitative stability for complex Monge-Ampère equation. In the recent paper [<CitationRef CitationID="CR21">21</CitationRef>], we treated the stability question for fixed cohomology classes and fixed prescribed singularity types. In this work, we establish quantitative stability estimates for complex Monge-Ampère equations when <i>both</i> the cohomology class and the prescribed singularity vary.</p>

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Quantitative stability for the complex Monge-Ampère equations II

  • Hoang-Son Do,
  • Duc-Viet Vu

摘要

This is a continuation of our previous work on quantitative stability for complex Monge-Ampère equation. In the recent paper [21], we treated the stability question for fixed cohomology classes and fixed prescribed singularity types. In this work, we establish quantitative stability estimates for complex Monge-Ampère equations when both the cohomology class and the prescribed singularity vary.