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arXiv · 2412.04028

On the coupled Ding stability and the Yau--Tian--Donaldson correspondence for Fano manifolds

Kento Fujita·Yoshinori Hashimoto
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Abstract

We interpret the coupled Ding semistability and the reduced coupled uniform Ding stability of log Fano pairs in the notion of coupled stability thresholds and reduced coupled stability thresholds. As a corollary, we solve a modified version of the conjecture by Hultgren and Witt Nystr\"om for coupled K\"ahler--Einstein metrics on Fano manifolds.

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Kento Fujita, Yoshinori Hashimoto. 2024-12-05. On the coupled Ding stability and the Yau--Tian--Donaldson correspondence for Fano manifolds. https://arxiv.org/abs/2412.04028

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