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- W3209504723 abstract "For each d, we construct CAT(0) cube complexes on which Cremona groups of rank d act by isometries. From these actions we deduce new and old group-theoretical and dynamical results about Cremona groups. In particular, we study the dynamical behavior of the irreducible components of exceptional loci. This leads to proofs of regularization theorems, such as the regularization of groups with property FW. We also find new constraints on the degree growth for non-pseudo-regularizable birational transformations, and we show that the centralizer of certain birational transformations is small." @default.
- W3209504723 created "2021-11-08" @default.
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- W3209504723 date "2021-11-15" @default.
- W3209504723 modified "2023-10-02" @default.
- W3209504723 title "Actions of Cremona groups on CAT(0) cube complexes" @default.
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- W3209504723 doi "https://doi.org/10.1215/00127094-2021-0061" @default.
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