Free automorphisms of positive entropy on smooth Kähler surfaces

Details Free automorphisms of positive entropy on smooth Kähler surfaces Free automorphisms of positive entropy on smooth Kähler surfaces

2012-02-13

arxiv.org/abs/1202.2637v2

Mathematics

Algebraic Geometry

10 pages, two typos are corrected, an error in the proof of Lemma 2.3 is corrected

Scientific paper

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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