37 citations · 237 across the 32 of their papers we have counts for
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On log K-stability for asymptotically log Fano varieties
Kento Fujita
The notion of asymptotically log Fano varieties was given by Cheltsov and Rubinstein. We show that, if an asymptotically log Fano variety satisfies that is irreducible…
Examples of K-unstable Fano manifolds with the Picard number one
Kento Fujita
We show that the pair is K-unstable for a del Pezzo manifold of degree five with dimension four or five. This disprove a conjecture of Odaka and Okada.
Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
Kento Fujita
We show that any -dimensional Fano manifold admitting Kähler-Einstein metrics satisfies that the anti-canonical volume is less than or equal to the value . Moreover…
On K-stability and the volume functions of -Fano varieties
Kento Fujita
We introduce a new effective stability named "divisorial stability" for Fano manifolds which is weaker than K-stability and is stronger than slope stability along divisors. We show…
On Berman-Gibbs stability and K-stability of -Fano varieties
Kento Fujita
The notion of Berman-Gibbs stability was originally introduced by Robert Berman for -Fano varieties . We show that the pair is K-stable (resp. K-semistab…