Pseudo-Automorphisms of positive entropy on the blowups of products of projective spaces

Details Pseudo-Automorphisms of positive entropy on the blowups of products of projective spaces Pseudo-Automorphisms of positive entropy on the blowups of products of projective spaces

2011-11-15

arxiv.org/abs/1111.3546v1

Mathematics

Dynamical Systems

16 pages

Scientific paper

We use a concise method to construct pseudo-automorphisms f_n of positive entropy on the blowups of the projective n-space for all n > 1 and more generally on the blowups of products of projective spaces. These f_n for n > 3 and those on the blowups of products of projective spaces seem to be the first examples of pseudo-automorphisms of positive entropy on rational varieties of higher dimensions.

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