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

Fabio Perroni, De-Qi Zhang

Published 2011-11-15, updated 2013-11-10Version 2

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.