Kento Fujita

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20232026

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5 papers · 1 filter

math.AG2026

Elementary links from prime Fano threefolds along two lines

Kento Fujita

For prime Fano threefolds $X$ of genus $g = 12$ , $10$ or $9$ , and for totally disjoint pairs of lines $Z_{1}$ , $Z_{2}$ in $X$ , we establish links from the blowups of $X$ along $Z_{1}$ and…

math.AG2026

On K-stability of singular hyperelliptic Fano 3-folds

Hamid Abban, Ivan Cheltsov, Adrien Dubouloz +3

We study the K-stability of singular Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system is base-point-free but not very ample.

math.AG2025

Another view on smooth prime Fano threefolds of degree 22 with infinite automorphism groups

Adrien Dubouloz, Kento Fujita, Takashi Kishimoto

We give a self-contained alternative proof of the classification of smooth prime Fano threefolds of degree 22 with infinite automorphism groups established by Kuznetsov, Prokhorov…

math.AG2024

K-moduli of pure states of four qubits

Ivan Cheltsov, Maksym Fedorchuk, Kento Fujita +1

We find all K-polystable limits of divisors in $(P^{1})^{4}$ of degree $(1, 1, 1, 1)$ and explicitly describe the associated irreducible component of the K-moduli space.

math.AG2023

K-stability of Casagrande-Druel varieties

Ivan Cheltsov, Tiago Duarte Guerreiro, Kento Fujita +2

We introduce a new subclass of Fano varieties (Casagrande-Druel varieties), that are $n$ -dimensional varieties constructed from Fano double covers of dimension $n - 1$ . We conjecture…