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20162025
most citedAsymptotically rigid mapping class groups I: Finiteness properties of braided Thompson's and Houghton's groups

15 citations · 22 across the 12 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

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…