Takashi Kishimoto

activity

20092024

most citedGa-actions on affine cones

45 citations · 77 across the 14 of their papers we have counts for

collaborators

17 papers

math.AG2024

Completions of the affine $3$ -space into del Pezzo fibrations

Adrien Dubouloz, Takashi Kishimoto, Masaru Nagaoka

We give constructions of completions of the affine $3$ -space into total spaces of del Pezzo fibrations of every degree other than $7$ over the projective line. We show in particula…

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

Del Pezzo quintics as equivariant compactifications of vector groups

Adrien Dubouloz, Takashi Kishimoto, Pedro Montero

We study faithful actions with a dense orbit of abelian unipotent groups on quintic del Pezzo varieties over a field of characteristic zero. Such varieties are forms of linear sect…

math.AG2022

K-stable divisors in $P^{1} \times P^{1} \times P^{2}$ of degree $(1, 1, 2)$

Ivan Cheltsov, Kento Fujita, Takashi Kishimoto +1

We prove that every smooth divisor in $P^{1} \times P^{1} \times P^{2}$ of degree $(1, 1, 2)$ is K-stable.

math.AG2020

Completions of affine spaces into Mori fiber spaces with non-rational fibers

Adrien Dubouloz, Takashi Kishimoto, Karol Palka

We describe a method to construct completions of affine spaces into total spaces of $Q$ -factorial terminal Mori fiber spaces over the projective line. As an application we…

math.AG2020★ 2 cited

Toric G-solid Fano threefolds

Ivan Cheltsov, Adrien Dubouloz, Takashi Kishimoto

We study toric G-solid Fano threefolds that have at most terminal singularities, where G is an algebraic subgroup of the normalizer of a maximal torus in their automorphism groups.

Completions of the affine 3-space into del Pezzo fibrations