Dynamical degrees of birational transformations of projective surfaces
By J. Blanc, Serge Cantat. 2013
95 citations recorded by the source corpus.
The dynamical degree lambda( f ) of a birational transformation f measures the exponential growth rate of the degree of the formulae that define the n -th iterate of f . We study the set of all dynamical degrees of all birational transformations of projective surfaces, and the relationship between the value of lambda( f ) and the structure of the conjugacy class of f . For instance, the set of all dynamical degrees of birational transformations of the complex projective plane is a closed and well ordered set of algebraic numbers.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3a532b6561160148cb94870f2d22557c4cfc130d
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Dynamical systems and categories (2013, methodology): “llel between dynamical theory of Teichmuller space and the Bogomolov-Picard-Manin space associated with an algebraic surface. This connection was taken a step further in the work of Blanc and Cantat [8] where the dynamical spectra of the groups of birational automorphisms of surfaces acting on the B”