18 citations · 89 across the 25 of their papers we have counts for
25 papers
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…
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…
On a question of supports
Frédéric Mangolte, Christophe Raffalli
We give a sufficient condition in order that closed connected subsets in the -dimensional real projective space admit a common multitangent hyperplane.
Real algebraic curves with large finite number of real points
Erwan Brugallé, Alex Degtyarev, Ilia Itenberg +1
We address the problem of the maximal finite number of real points of a real algebraic curve (of a given degree and, sometimes, genus) in the projective plane. We improve the known…