Pseudo-automorphisms of positive entropy on the blowups of products of projective spaces
Perroni, F. Zhang, D.-Q.
Perroni, F.
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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. © 2013 Springer-Verlag Berlin Heidelberg.
Keywords
14J50, 32H50, 32M05, 37B40
Source Title
Mathematische Annalen
Publisher
Series/Report No.
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Date
2014
DOI
10.1007/s00208-013-0992-4
Type
Article