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Article Dans Une Revue Asian Journal of Mathematics Année : 2018

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

Résumé

From the work of Dervan-Keller [DK15], 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, strengthening the results of Dervan-Keller. Eventually, we discuss the case of Kahler classes that may not be integral over a compact manifold.

Dates et versions

hal-02066047 , version 1 (13-03-2019)

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Yoshinori Hashimoto, Julien Keller. About J-flow, J-balanced metrics, uniform J-stability and K-stability. Asian Journal of Mathematics, 2018, 22 (3), pp.391-412. ⟨10.4310/AJM.2018.v22.n3.a1⟩. ⟨hal-02066047⟩
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