Igor Krylov

collaborators

2 papers

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.AG2023

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 $n$ -dimensional varieties constructed from Fano double covers of dimension $n - 1$ . We conjecture…