Continuous Families of Rational Surface Automorphisms with Positive Entropy
classification
🧮 math.CV
math.AG
keywords
automorphismsfamiliesrationalsurfacesurfacesableautomorphismblowups
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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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