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- W4287907618 abstract "For each d we construct CAT(0) cube complexes on which Cremona groups 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 behaviour of the irreducible components of exceptional loci, we prove regularization theorems, we find new constraints on the degree growth for non-regularizable birational transformations, and we show that the centralizer of certain birational transformations is small." @default.
- W4287907618 created "2022-07-26" @default.
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- W4287907618 date "2020-01-03" @default.
- W4287907618 modified "2023-10-16" @default.
- W4287907618 title "Actions of Cremona groups on CAT(0) cube complexes" @default.
- W4287907618 doi "https://doi.org/10.48550/arxiv.2001.00783" @default.
- W4287907618 hasPublicationYear "2020" @default.
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