23 citations · 27 across the 7 of their papers we have counts for
10 papers · 1 filter
Completions of the affine -space into del Pezzo fibrations
Adrien Dubouloz, Takashi Kishimoto, Masaru Nagaoka
We give constructions of completions of the affine -space into total spaces of del Pezzo fibrations of every degree other than over the projective line. We show in particula…
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.
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…
Rees algebras of additive group actions
Adrien Dubouloz, Isac Hedén, Takashi Kishimoto
We establish basic properties of a sheaf of graded algebras canonically associated to every relative affine scheme endowed with an action of the additive grou…
Cylinders in Mori Fiber Spaces: forms of the quintic del Pezzo threefold
Adrien Dubouloz, Takashi Kishimoto
Motivated by the general question of existence of open A1-cylinders in higher dimensional pro-jective varieties, we consider the case of Mori Fiber Spaces of relative dimension thr…
Deformations of -cylindrical varieties
Adrien Dubouloz, Takashi Kishimoto
An algebraic variety is called -cylindrical if it contains an -cylinder, i.e. a Zariski open subset of the form for some alg…