18 papers · 1 filter
On K-stability of Fano's last Fanos
Ivan Cheltsov, DongSeon Hwang, Alex Küronya +5
We study K-stability of smooth Fano threefolds of Picard rank and degree which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^…
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…
On G-birational rigidity of projective spaces
Ivan Cheltsov, Frederic Mangolte, Constantin Shramov
In this paper, we study finite subgroups such that is -birationally rigid. For each , we prove that $\mathrm{Au…
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…
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.