31 citations · 81 across the 46 of their papers we have counts for
5 papers · 2 filters
On K-stability of blown up along a quintic elliptic curve
Ivan Cheltsov, Piotr Pokora
In this note, we study K-stability of smooth Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth elliptic curve of degree five.
K-stability of Casagrande-Druel varieties
Ivan Cheltsov, Tiago Duarte Guerreiro, Kento Fujita +2
We introduce a new subclass of Fano varieties (Casagrande-Druel varieties), that are -dimensional varieties constructed from Fano double covers of dimension . We conjecture…
One-dimensional components in the K-moduli of smooth Fano 3-folds
Hamid Abban, Ivan Cheltsov, Elena Denisova +5
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of…
K-moduli of Fano threefolds in family 3.10
Ivan Cheltsov, Alan Thompson
We find all K-polystable limits of smooth Fano threefolds in family 3.10.
Equivariant geometry of the Segre cubic and the Burkhardt quartic
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
We study linearizability and stable linearizability of actions of finite groups on the Segre cubic and Burkhardt quartic, using techniques from group cohomology, birational rigidit…