Some criteria for uniform K-stability

Fuente: arXiv
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Auteurs principaux: Zhou, Chuyu, Zhuang, Ziquan
Format: Preprint
Publié: 2019
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author Zhou, Chuyu
Zhuang, Ziquan
author_facet Zhou, Chuyu
Zhuang, Ziquan
contents We prove some criteria for uniform K-stability of log Fano pairs. In particular, we show that uniform K-stability is equivalent to $β$-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.
format Preprint
id arxiv_https___arxiv_org_abs_1907_05293
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Some criteria for uniform K-stability
Zhou, Chuyu
Zhuang, Ziquan
Algebraic Geometry
Differential Geometry
We prove some criteria for uniform K-stability of log Fano pairs. In particular, we show that uniform K-stability is equivalent to $β$-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.
title Some criteria for uniform K-stability
topic Algebraic Geometry
Differential Geometry
url https://arxiv.org/abs/1907.05293