Irreducible higher-rank lattices have virtually isotopically projectively regularizable birational actions on complex projective surfaces, via cohomological vanishing and a cube-complex fixed-point theorem.
Group actions with commensurated subsets, wallings and cubings
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abstract
We study commensurating actions of groups and the associated properties FW and PW, in connection with wallings, median graphs, CAT(0) cubings and multi-ended Schreier graphs.
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2026 1verdicts
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On cube and Cremona rigidity for higher-rank lattices
Irreducible higher-rank lattices have virtually isotopically projectively regularizable birational actions on complex projective surfaces, via cohomological vanishing and a cube-complex fixed-point theorem.