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<p>We prove a uniform diameter estimate and a uniform local non-collapsing of volumes for a large family of Kähler metrics generalizing those obtained recently by Guo-Phong-Song-Sturm. We treat also similar questions in the singular setting.</p>

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Uniform Diameter and Non-collapsing Estimates for Kähler Metrics

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月16日

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  • Duc-Viet Vu

摘要

We prove a uniform diameter estimate and a uniform local non-collapsing of volumes for a large family of Kähler metrics generalizing those obtained recently by Guo-Phong-Song-Sturm. We treat also similar questions in the singular setting.