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math.AG2023
The moduli space of cactus flower curves and the virtual cactus group
Aleksei Ilin, Joel Kamnitzer, Yu Li +2
The space $ \ft_n = \C^n/\C $ of points on the line modulo translation has a natural compactification $ \overline \ft_n $ as a matroid Schubert variety. In this space, pairwise…
math.GR2023
Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded
Anne Lonjou, Piotr Przytycki, Christian Urech
We prove that any finitely generated subgroup of the plane Cremona group consisting only of algebraic elements is of bounded degree. This follows from a more general result on `dec…
math.GR2023
Weak Tits alternative for groups acting geometrically on buildings
Chris Karpinski, Damian Osajda, Piotr Przytycki
We show that if a group acts geometrically by type-preserving automorphisms on a building, then satisfies the weak Tits alternative, namely, that is either virtually ab…