3 papers
math.AG2025
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…
math.AG2025
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…
math.AG2024
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…