Pisot units, Salem numbers and higher dimensional projective manifolds with primitive automorphisms of positive entropy

Keiji Oguiso

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arXiv · 1608.03122

Pisot units, Salem numbers and higher dimensional projective manifolds with primitive automorphisms of positive entropy

Keiji Oguiso

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Abstract

We show that, in any dimension greater than one, there are an abelian variety, a smooth rational variety and a Calabi-Yau manifold, with primitive birational automorphisms of first dynamical degree $>1$. We also show that there are smooth complex projective Calabi-Yau manifolds and smooth rational manifolds, of any even dimension, with primitive biregular automorphisms of positive topological entropy.

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BibTeX RIS

Keiji Oguiso. 2016-08-10. Pisot units, Salem numbers and higher dimensional projective manifolds with primitive automorphisms of positive entropy. https://arxiv.org/abs/1608.03122

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