Kento Fujita

activity

20112026

most citedOptimal bounds for the volumes of Kähler-Einstein Fano manifolds

37 citations · 237 across the 32 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.AG2016★ 9 cited

K-stability of Fano manifolds with not small alpha invariants

Kento Fujita

We show that any $n$ -dimensional Fano manifold $X$ with $α (X) = n / (n + 1)$ and $n \geq 2$ is K-stable, where $α (X)$ is the alpha invariant of $X$ introduced by Tian. In particular, any…

math.AG2016★ 18 cited

On the K-stability of Fano varieties and anticanonical divisors

Kento Fujita, Yuji Odaka

We apply a recent theorem of Li and the first author to give some criteria for the K-stability of Fano varieties in terms of anticanonical Q-divisors. First, we propose a condition…

math.AG2016★ 25 cited

A valuative criterion for uniform K-stability of $Q$ -Fano varieties

Kento Fujita

We give a simple necessary and sufficient condition for uniform K-stability of $Q$ -Fano varieties.

K-stability of Fano manifolds with not small alpha invariants

On the K-stability of Fano varieties and anticanonical divisors

A valuative criterion for uniform K-stability of Q-Fano varieties

A valuative criterion for uniform K-stability of $Q$ -Fano varieties