About J-flow, J-balanced metrics, uniform J-stability and K-stability
Algebraic Geometry
2017-07-05 v2 Complex Variables
Differential Geometry
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.
Keywords
Cite
@article{arxiv.1705.02000,
title = {About J-flow, J-balanced metrics, uniform J-stability and K-stability},
author = {Yoshinori Hashimoto and Julien Keller},
journal= {arXiv preprint arXiv:1705.02000},
year = {2017}
}
Comments
23 pages; In honor of Ngaiming Mok's 60th birthday. To appear in Asian J. Math