B. Kunyavskii

collaborators

3 papers

math.GR2026

Bounded elementary generation of SL_2: nearly the end

B. E. Kunyavskii, D. W. Morris, A. S. Rapinchuk

Let $O_{S}$ be the ring of $S$ -integers of a global field $K$ of any characteristic, where $S$ is a finite set of valuations of $K$ (and $S$ contains all of the archimedean…

math.AG2026

Birational properties of word varieties

Tatiana Bandman, Boris Kunyavskii, Alexei N. Skorobogatov

We prove that the subvariety of $S L (2) \times S L (2)$ given by the matrix equation $w (X, Y) = I^\pm$ , where $w$ is a word in two letters, is closely related to an explicit smooth conic bun…

math.AG2026

Linearization of finite subgroups of Cremona groups over non-closed fields

Boris Kunyavskii

We study linearizability properties of finite subgroups of the Cremona group $Cr_{n} (k)$ in the case where $k$ is a global field, with the focus on the local-global princi…