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arXiv · 1504.03197

Properness of log $F$-functionals

Gang Tian·Xiaohua Zhu
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Abstract

In this paper, we apply the method developed in [Ti97] and [TZ00] to proving the properness of log $F$-functional on any conic K\"ahler-Einstein manifolds. As an application, we give an alternative proof for the openness of the continuity method through conic K\"ahler-Einstein metrics.

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Gang Tian, Xiaohua Zhu. 2015-04-13. Properness of log $F$-functionals. https://arxiv.org/abs/1504.03197

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