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|Title:||Pseudo-automorphisms of positive entropy on the blowups of products of projective spaces|
|Source:||Perroni, F., Zhang, D.-Q. (2014). Pseudo-automorphisms of positive entropy on the blowups of products of projective spaces. Mathematische Annalen 359 (1-2) : 189-209. ScholarBank@NUS Repository. https://doi.org/10.1007/s00208-013-0992-4|
|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.|
|Source Title:||Mathematische Annalen|
|Appears in Collections:||Staff Publications|
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