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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

collaborators

34 papers

math.AG2026

K-stability of Fano weighted hypersurfaces via plt flags and convex geometry

Livia Campo, Kento Fujita, Taro Sano +1

We develop a framework to study the K-stability of weighted Fano hypersurfaces based on a combination of birational and convex-geometric techniques. As an application, we prove tha…

math.NT2025

-adic symmetric multiple zeta values for indices with alternating and , starting with and ending with

Kento Fujita

Hirose, Murahara, and Saito proved that some -adic symmetric multiple zeta values, for indices in which and appear alternately in succession, can be expressed as polynom…

math.AG2024

On the coupled Ding stability and the Yau--Tian--Donaldson correspondence for Fano manifolds

Kento Fujita, Yoshinori Hashimoto

We interpret the coupled Ding semistability and the reduced coupled uniform Ding stability of log Fano pairs in the notion of coupled stability thresholds and reduced coupled stabi…

math.AG2024

On the coupled stability thresholds of graded linear series

Kento Fujita

In this paper, we see several basic properties of graded linear series. We firstly see that, if a graded linear series contains an ample series, then so are the pullbacks of the sy…

math.AG2023

K-stable Fano 3-folds in the families 2.18 and 3.4

Ivan Cheltsov, Kento Fujita, Takashi Kishimoto +1

We prove that smooth Fano 3-folds in the families 2.18 and 3.4 are K-stable.

math.AG2022★ 2 cited

K-stable smooth Fano threefolds of Picard rank two

Ivan Cheltsov, Elena Denisova, Kento Fujita

We prove that all smooth Fano threefolds in the families 2.1, 2.2, 2.3, 2.4, 2.6 and 2.7 are K-stable, and we also prove that smooth Fano threefolds in the family 2.5 that satisfy…