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arXiv · 1111.3546

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

Fabio Perroni·De-Qi Zhang
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Abstract

We use a concise method to construct pseudo-automorphisms f_n of the first dynamical degree d_1(f_n) > 1 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 have positive entropy, and for n > 3 seem to be the first examples of pseudo-automorphisms with d_1(f_n) > 1 (and of non-product type) on rational varieties of higher dimensions.

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Fabio Perroni, De-Qi Zhang. 2011-11-15. Pseudo-Automorphisms of positive entropy on the blowups of products of projective spaces. https://arxiv.org/abs/1111.3546

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