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

Perroni, Fabio; Zhang, De Qi

doi:10.1007/s00208-013-0992-4

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:	PERRONI, FABIO Zhang, De Qi mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2014
Rivista:	MATHEMATISCHE ANNALEN
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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