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20242026
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8 papers · 1 filter

math.AG2025

Simple subgroups of the real space Cremona group

Ivan Cheltsov, Antoine Pinardin, Yuri Prokhorov

We show that the alternating groups and are the only finite simple non-abelian subgroups of the group of birational selfmaps of the real three-dim…

math.AG2025

Equivariant geometry of singular cubic threefolds, II

Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel +1

We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.

math.AG2025

Conjugacy classes of linear actions in the plane Cremona group

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

We classify regular generically free actions of finite groups on the projective plane, up to conjugation in the Cremona group.

math.AG2025

Smooth Fano 3-folds satisfying Condition (A)

Hamid Abban, Ivan Cheltsov, Takashi Kishimoto +1

A smooth variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We classify smooth Fano 3-folds that satisfy Conditi…

math.AG2025

K-stability of Fano 3-folds in the World of Null-A

Hamid Abban, Ivan Cheltsov, Takashi Kishimoto +1

A variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We show that a smooth Fano 3-fold not satisfying Condition…

math.AG2025

Equivariant geometry of cubic threefolds with non-isolated singularities

Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel +1

We study linearizability of actions of finite groups on cubic threefolds with non-isolated singularities.