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arxiv: 1111.3546 · v2 · pith:COZ52NUSnew · submitted 2011-11-15 · 🧮 math.DS · math.AG

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

classification 🧮 math.DS math.AG
keywords blowupsprojectivepseudo-automorphismsentropyfirstpositiveproductsspaces
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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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