41 citations · 420 across the 104 of their papers we have counts for
111 papers
Potential density of rational points on sextic double solids
Ivan Cheltsov, Yuri Tschinkel
We provide examples of smooth sextic double solids with potentially dense sets of rational points, over any field of characteristic zero.
Degenerations of elliptic quartics and K-moduli of Fano threefolds
Ivan Cheltsov, Anne-Sophie Kaloghiros, Robert Śmiech +1
We study the K-moduli space of Fano threefolds obtained by first blowing up along an elliptic quartic curve and then blowing up a fiber of the exception…
Unirational del Pezzo surfaces of degree one
Ivan Cheltsov, Konstantin Loginov, Dmitri Orlov +1
We construct explicit unirational del Pezzo surfaces of degree with arithmetic Picard rank one over , , and . Moreover, we prove that e…
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…
G-birationally rigid cubic threefolds
Ivan Cheltsov, Igor Krylov, Sione Ma'u
We classify pairs consisting of a (possibly singular) cubic threefold and a finite subgroup such that is -birational…
Birational geometry of actions on del Pezzo surfaces
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
We complete the classification of regular generically free actions of finite groups on del Pezzo surfaces, up to birational equivalence. As a byproduct, we settle several open prob…