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 ≥ 2 and more generally on the blowups of products of projective spaces. These fn, for n = 3 have positive entropy, and for n ≥ 4 seem to be the first examples of pseudo- automorphisms with d1( fn) > 1 (and of non-product type) on rational varieties of higher dimensions.
Pseudo-automorphisms of positive entropy on the blowups of products of projective spaces
PERRONI, FABIO;
2014-01-01
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 ≥ 2 and more generally on the blowups of products of projective spaces. These fn, for n = 3 have positive entropy, and for n ≥ 4 seem to be the first examples of pseudo- automorphisms with d1( fn) > 1 (and of non-product type) on rational varieties of higher dimensions.File in questo prodotto:
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