I. Cheltsov

activity

20002026

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

31 citations · 81 across the 47 of their papers we have counts for

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Showing 2026 · math.AGShow all

7 papers · 2 filters

math.AG2026

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 $P^{3}$ along an elliptic quartic curve $C$ and then blowing up a fiber $ℓ_{p}$ of the exception…

math.AG2026

Unirational del Pezzo surfaces of degree one

Ivan Cheltsov, Konstantin Loginov, Dmitri Orlov +1

We construct explicit unirational del Pezzo surfaces of degree $1$ with arithmetic Picard rank one over $Q$ , $F_{5}$ , and $C (t)$ . Moreover, we prove that e…

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 G-birational rigidity of projective spaces

Ivan Cheltsov, Frederic Mangolte, Constantin Shramov

In this paper, we study finite subgroups $G \subset Aut (P^{n})$ such that $P^{n}$ is $G$ -birationally rigid. For each $n ⩾ 3$ , we prove that $\mathrm{Au…