I. Cheltsov

activity

20242026

collaborators

17 papers

math.AG2026

On K-stability of Fano's last Fanos

Ivan Cheltsov, DongSeon Hwang, Alex KÃ¼ronya +5

We study K-stability of smooth Fano threefolds of Picard rank $2$ and degree $22$ which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^…

math.NA2026

Hadamard Langevin dynamics for sampling the l1-prior

Ivan Cheltsov, Federico Cornalba, Clarice Poon +1

Priors with non-smooth log-densities, such as the l1-prior, are widely used in Bayesian inverse problems for their sparsity-inducing properties. Existing Langevin-based sampling me…

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

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…

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…