Automorphisms of rational manifolds of positive entropy with Siegel disks

作者：Oguiso Keiji^*; Perroni Fabio

来源：Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 2011, 22(4): 487-504.

DOI：10.4171/RLM/610

• Rational manifolds
• automorphisms of positive entropy
• Siegel disks

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.

• 出版日期2011