Abstract
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 the 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 the K-semistability of the projective plane.
Citation
Kento Fujita. "Uniform K-stability and plt blowups of log Fano pairs." Kyoto J. Math. 59 (2) 399 - 418, June 2019. https://doi.org/10.1215/21562261-2019-0012
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