Eric Bedford, Serge Cantat, Kyounghee Kim
Published 2013-09-14, updated 2013-09-26Version 2
We construct an example of a birational transformation of a rational threefold for which the first and second dynamical degrees coincide and are $>1$, but which does not preserve any holomorphic (singular) foliation. In particular, this provides a negative answer to a question of Guedj. On our way, we develop several techniques to study foliations which are invariant under birational transformations.
Examples of Rational Maps of CP^2 with Equal Dynamical Degrees and No Invariant Foliation
Data-driven reduced order models using invariant foliations, manifolds and autoencoders
Invertible dynamics on blow-ups of P^k
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