Continuous Families of Rational Surface Automorphisms with Positive Entropy

Abstract

We construct k-parameter families of rational surface automorphisms for any k. These are automorphisms of surfaces X, which are constructed from iterated blowups over the projective plane. In certain cases: we are able to determine the exact automorphism group of X, as well as when two of the surfaces X are inequivalent.

Cited by in corpus (2)

• Dynamics of Rational Surface Automorphisms: Rotation Domains
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