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arXiv · 2610.21198

Understanding entropy using Aubin--Yau deformations

Tamás Darvas·Kewei Zhang
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Abstract

In this paper we investigate three types of entropy that frequently appear in the research of Kähler geometry: the classical Kähler entropy, the radial entropy and the non-Archimedean entropy. We give a unifying interpretation for these entropies by showing that they can all be expressed as the derivative of the Monge--Ampère energy along certain Aubin--Yau type deformations. Such considerations also lead to a novel algebraic criterion for the existence of constant scalar curvature Kähler metrics.

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Tamás Darvas, Kewei Zhang. 2026-10-15. Understanding entropy using Aubin--Yau deformations. https://arxiv.org/abs/2610.21198

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