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arXiv · 0804.2078

Continuous Families of Rational Surface Automorphisms with Positive Entropy

Eric Bedford·Kyounghee Kim
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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.

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Eric Bedford, Kyounghee Kim. 2009-02-27. Continuous Families of Rational Surface Automorphisms with Positive Entropy. https://arxiv.org/abs/0804.2078

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