37 citations · 237 across the 32 of their papers we have counts for
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math.AG2017★ 28 cited
K-stability of log Fano hyperplane arrangements
Kento Fujita
In this article, we completely determine which log Fano hyperplane arrangements are uniformly K-stable, K-stable, K-polystable, K-semistable or not.
math.AG2017★ 5 cited
Openness results for uniform K-stability
Kento Fujita
Assume that a projective variety together with a polarization is uniformly K-stable. If the polarization is canonical or anti-canonical, then the projective variety is uniformly K-…
math.AG2017★ 36 cited
Uniform K-stability and plt blowups of log Fano pairs
Kento Fujita
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…