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arxiv: 1202.2637 · v3 · pith:6V2OYKOJnew · submitted 2012-02-13 · 🧮 math.AG · math.DS

Free automorphisms of positive entropy on smooth K\"ahler surfaces

classification 🧮 math.AG math.DS
keywords ahlerautomorphismentropyfreepositiveprojectivesmoothsurface
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We prove that there is a projective K3 surface admitting a (fixed point) free automorphism of positive entropy and that no smooth compact K\"ahler surface other than projective K3 surfaces and their blow up admits such an automorphism.

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