5 papers
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.
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…
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 o…