We prove that the partial C 0 C^0 -estimate holds for metrics along Aubinâs continuity method for finding KĂ€hler-Einstein metrics, confirming a special case of a conjecture due to Tian. We use the method developed in recent work of Chen-Donaldson-Sun on the analogous problem for conical KĂ€hler-Einstein metrics.
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Gåbor Székelyhidi (2015) studied this question.
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