A. Regeta

collaborators

4 papers

math.AG2026

Solvable Automorphism Groups of Varieties

Serge Cantat, Hanspeter Kraft, Andriy Regeta +1

Let $X$ be a variety of dimension $n$ , and let $Aut (X)$ be its automorphism group. When $X$ is quasi-affine, we prove that a solvable subgroup of $Aut (X)$ that is…

math.AG2026

On Ramanujam's Theorem About Finite Dimensional Groups of Automorphisms

Serge Cantat, Hanspeter Kraft, Andriy Regeta +1

Ramanujam's theorem states that any connected finite-dimensional subgroup of the automorphism group $Aut (X)$ of an irreducible variety $X$ is an algebraic group, in a natu…

math.AG2026

The Automorphism groups of zero-dimensional monomial algebras

Roberto DÃaz, Alvaro Liendo, Gonzalo Manzano-Flores +1

A monomial algebra B is defined as a quotient of a polynomial ring by a monomial ideal, which is an ideal generated by a finite set of monomials. In this paper, we determine the au…

math.AG2025

Characterizing Varieties Using Birational Transformations

Nathan Chen, Louis Esser, Andriy Regeta +2

Suppose $X$ is an irreducible complex variety. We show that when $X$ is ruled, the group of birational transformations $B i r (X)$ , as a group, determines $X$ up to birational transfo…