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arXiv · 1705.02000

About J-flow, J-balanced metrics, uniform J-stability and K-stability

Yoshinori Hashimoto·Julien Keller
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Abstract

From the work of Dervan-Keller, there exists a quantization of the critical equation for the J-flow. This leads to the notion of J-balanced metrics. We prove that the existence of J-balanced metrics has a purely algebro-geometric characterization in terms of Chow stability, complementing the result of Dervan-Keller. We also obtain various criteria that imply uniform J-stability and uniform K-stability. Eventually, we discuss the case of K\"ahler classes that may not be integral over a compact manifold.

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BibTeXRIS

Yoshinori Hashimoto, Julien Keller. 2017-05-04. About J-flow, J-balanced metrics, uniform J-stability and K-stability. https://arxiv.org/abs/1705.02000

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