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

TitlePseudo-automorphisms of positive entropy on the blowups of products of projective spaces
Publication TypeJournal Article
Year of Publication2014
AuthorsPerroni, F, Zhang, D
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.

URLhttp://urania.sissa.it/xmlui/handle/1963/34714
DOI10.1007/s00208-013-0992-4

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