Positive scalar curvature K\"ahler metrics and shifted $K$-stability

Zehao Sha

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arXiv · 2608.20030

Positive scalar curvature K\"ahler metrics and shifted $K$-stability

Zehao Sha

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Abstract

In this paper, we show that the quantitative data underlying $K$-stability, originally developed in the study of canonical metrics, also detect the existence of positive scalar curvature K\"ahler metrics in a fixed class.

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Zehao Sha. 2026-08-20. Positive scalar curvature K\"ahler metrics and shifted $K$-stability. https://arxiv.org/abs/2608.20030

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