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Original Article

Reduced Delta Invariant and Kähler–Einstein Metrics

School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
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Abstract

Based on the pluripotential methods developed in Darvas and Zhang (Commun Pure Appl Math 77(12):4289–4327, 2024), we give a simplified prove for a result of Chi Li, which states that a log Fano vatiety admits a Kähler–Einstein metric if it has vanishing Futaki invariant and its reduced delta invariant is bigger than one.

Keywords

Kähler–Einstein metricK-stabilityYau–Tian–Donaldson conjecture

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Peking Mathematical Journal
Volume 9 Issue 3,
September 2026
Pages 643-672
DOI: 10.1007/s42543-024-00093-9

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Cite this article:
Zhang, K. Reduced Delta Invariant and Kähler–Einstein Metrics. Peking Math J 9, 643-672 (2026). https://doi.org/10.1007/s42543-024-00093-9

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Received: 10 May 2024
Revised: 16 September 2024
Accepted: 27 October 2024
Published: 03 December 2024
© Peking University 2024