标题： 均匀K稳定性与对数Fano对的plt爆破 显示英文标题

标题： Uniform K-stability and plt blowups of log Fano pairs

摘要： 我们展示了log Fano对的均匀K稳定性与plt爆破之间的关系。 我们看到，为了测试log Fano对的均匀K稳定性，只需对所有plt爆破评估由体积函数定义的某些不变量即可。 我们还讨论了在等倾有限覆盖下两个log Fano对的均匀K稳定性。 此外，我们给出了射影平面的K半稳定性的另一种证明。 显示英文摘要

摘要： We show relationships between uniform K-stability and plt blowups of log Fano pairs. We see that it is enough to evaluate certain invariants defined by volume functions for all plt blowups in order to test uniform K-stability of log Fano pairs. We also discuss the uniform K-stability of two log Fano pairs under crepant finite covers. Moreover, we give another proof of K-semistability of the projective plane.