1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AG2024
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…
math.AG2024
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…
math.AG2019★ 1 cited
Characterizing quasi-affine spherical varieties via the automorphism group
Andriy Regeta, Immanuel van Santen
Let be a connected reductive algebraic group. In this note we prove that for a quasi-affine -spherical variety the weight monoid is determined by the weights of its non-triv…