I. Cheltsov

activity

20002026

most citedLog canonical thresholds of smooth Fano threefolds. With an appendix by Jean-Pierre Demailly

31 citations · 81 across the 39 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.AG2026

A Matsushima theorem for K-polystable polarised smooth Fano threefolds

Hamid Abban, Paolo Cascini, Ivan Cheltsov

We prove that if $X$ is a smooth Fano threefold and $L$ is an ample $Q$ -divisor such that $(X, L)$ is K-polystable, then the automorphism group $Aut (X)$ is r…

math.AG2026

G-birationally rigid cubic threefolds

Ivan Cheltsov, Igor Krylov, Sione Ma'u

We classify pairs $(X, G)$ consisting of a (possibly singular) cubic threefold $X \subset P^{4}$ and a finite subgroup $G \subset Aut (X)$ such that $X$ is $G$ -birational…

math.AG2026

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…

math.AG2026

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.