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arXiv · 1907.05293

Some criteria for uniform K-stability

Chuyu Zhou·Ziquan Zhuang
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Abstract

We prove some criteria for uniform K-stability of log Fano pairs. In particular, we show that uniform K-stability is equivalent to $\beta$-invariant having a positive lower bound. Then we study the relation between optimal destabilization conjecture and the conjectural equivalence between uniform K-stability and K-stability in the twisted setting.

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Chuyu Zhou, Ziquan Zhuang. 2019-07-11. Some criteria for uniform K-stability. https://arxiv.org/abs/1907.05293

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