4 citations · 18 across the 24 of their papers we have counts for
27 papers
The bracket width for Lie algebras of vector fields is finite
Rafael B. Andrist, Andriy Regeta
We prove that the bracket width of the Lie algebra of vector fields on any smooth affine algebraic variety of dimension is at most . We give improved bounds for some f…
Solvable Automorphism Groups of Varieties
Serge Cantat, Hanspeter Kraft, Andriy Regeta +1
Let be a variety of dimension , and let be its automorphism group. When is quasi-affine, we prove that a solvable subgroup of that is…
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 of an irreducible variety is an algebraic group, in a natu…
Characterizing Varieties Using Birational Transformations
Nathan Chen, Louis Esser, Andriy Regeta +2
Suppose is an irreducible complex variety. We show that when is ruled, the group of birational transformations , as a group, determines up to birational transfo…
Group Theoretical Characterizations of Rationality
Andriy Regeta, Christian Urech, Immanuel van Santen
Let X be an irreducible variety and Bir(X) its group of birational transformations. We show that the group structure of Bir(X) determines whether X is rational and whether X is rul…
The Structure of Algebraic Families of Birational Transformations
Andriy Regeta, Christian Urech, Immanuel van Santen
We give a description of the algebraic families of birational transformations of an algebraic variety X. As an application, we show that the morphisms to Bir(X) given by algebraic…