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.
Titolo: | Pseudo-automorphisms of positive entropy on the blowups of products of projective spaces | |
Autori: | ||
Data di pubblicazione: | 2014 | |
Rivista: | ||
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. | |
Handle: | http://hdl.handle.net/11368/2840446 | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00208-013-0992-4 | |
URL: | http://link.springer.com/article/10.1007%2Fs00208-013-0992-4 | |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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