Pseudo-Automorphisms of positive entropy on the blowups of products of projective spaces
Abstract
We use a concise method to construct pseudo-automorphisms fn of the first dynamical degree d1(fn) > 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 fn, for n = 3 have positive entropy, and for n > 3 seem to be the first examples of pseudo-automorphisms with d1(fn) > 1 (and of non-product type) on rational varieties of higher dimensions.
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