Continuous families of rational surface automorphisms with positive entropy
By Eric Bedford, Kyounghee Kim. 2008
62 citations recorded by the source corpus.
For any k we construct k-parameter families of rational surface automorphisms with positive entropy. These are automorphisms of surfaces $${\mathcal{X}}$$, which are constructed from iterated blowups over the projective plane. In certain cases we are able to determine the exact automorphism group of $${\mathcal{X}}$$, as well as when two of these surfaces are inequivalent.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1747427332506ad403d6cb99b8f3b3c03a321eff
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Degree growth of birational maps of the plane (2011, unknown): “In [2, 3, 4, 5, 12], automorphisms with positive entropy are constructed sta rting from a birational map ofP2.”
- Explicit Examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy (2013, background): “this paper. 1.1. GeneralProblem. Complex dynamics of biholomorphic automorphisms of compact Ka¨hler surfaces is now fairly well-understood since Cantat [Ca99]. Especially, BedfordKim ([BK09], [BK12], [BK10]) and McMullen ([Mc02], [Mc07], [Mc11], [Mc13]) show very beautiful aspects of automorphisms o”
- Dynamics of automorphisms of compact complex surfaces (2014, methodology): “We refer to [80, 7, 9, 102] for constructions of examples, to [8, 48] for their deformations, and to [31] for restrictions on the size of such groups of automorphisms.”