Continuous Families of Rational Surface Automorphisms with Positive Entropy

Details Continuous Families of Rational Surface Automorphisms with Positive Entropy Continuous Families of Rational Surface Automorphisms with Positive Entropy

2008-04-13

arxiv.org/abs/0804.2078v2

Mathematics

Complex Variables

Scientific paper

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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