Automorphisms of rational manifolds of positive entropy with Siegel disks

Details Automorphisms of rational manifolds of positive entropy with Siegel disks Automorphisms of rational manifolds of positive entropy with Siegel disks

2009-05-26

arxiv.org/abs/0905.4257v2

Mathematics

Algebraic Geometry

13 pages, one proposition and two references are added, but the main results remain the same

Scientific paper

Using McMullen's rational surface automorphisms, we construct projective
rational manifolds of higher dimension admitting automorphisms of positive
entropy with arbitrarily high number of Siegel disks and those with exactly one
Siegel disk.

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