4 papers · 1 filter
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…
Birational involutions of the real projective plane
Ivan Cheltsov, Frédéric Mangolte, Egor Yasinsky +1
We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Cast…