Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 59, Number 2 (2019), 399-418.
Uniform K-stability and plt blowups of log Fano pairs
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.
Kyoto J. Math., Volume 59, Number 2 (2019), 399-418.
Received: 1 January 2017
Revised: 14 February 2017
Accepted: 9 March 2017
First available in Project Euclid: 19 April 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14J45: Fano varieties
Secondary: 14E30: Minimal model program (Mori theory, extremal rays)
Fujita, Kento. Uniform K-stability and plt blowups of log Fano pairs. Kyoto J. Math. 59 (2019), no. 2, 399--418. doi:10.1215/21562261-2019-0012. https://projecteuclid.org/euclid.kjm/1555660964