6 papers · 1 filter
A Matsushima theorem for K-polystable polarised smooth Fano threefolds
Hamid Abban, Paolo Cascini, Ivan Cheltsov
We prove that if is a smooth Fano threefold and is an ample -divisor such that is K-polystable, then the automorphism group is r…
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.
Smooth Fano 3-folds satisfying Condition (A)
Hamid Abban, Ivan Cheltsov, Takashi Kishimoto +1
A smooth variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We classify smooth Fano 3-folds that satisfy Conditi…
K-stability of Fano 3-folds in the World of Null-A
Hamid Abban, Ivan Cheltsov, Takashi Kishimoto +1
A variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We show that a smooth Fano 3-fold not satisfying Condition…
K-stability of pointless del Pezzo surfaces and Fano 3-folds
Hamid Abban, Ivan Cheltsov, Takashi Kishimoto +1
We explore connections between existence of -rational points for Fano varieties defined over , a subfield of , and existence of Kähler-Einstein metrics on…
One-dimensional components in the K-moduli of smooth Fano 3-folds
Hamid Abban, Ivan Cheltsov, Elena Denisova +5
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of…