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|Title:||Polarized endomorphisms of uniruled varieties|
|Authors:||Zhang, D.-Q. |
rationality of variety
|Source:||Zhang, D.-Q., Fujimoto, Y., Nakayama, N. (2010-01). Polarized endomorphisms of uniruled varieties. Compositio Mathematica 146 (1) : 145-168. ScholarBank@NUS Repository. https://doi.org/10.1112/S0010437X09004278|
|Abstract:||We show that polarized endomorphisms of rationally connected threefolds with at worst terminal singularities are equivariantly built up from those on ℚ-Fano threefolds, Gorenstein log del Pezzo surfaces and ℙ1. Similar results are obtained for polarized endomorphisms of uniruled threefolds and fourfolds. As a consequence, we show that every smooth Fano threefold with a polarized endomorphism of degree greater than one is rational. © 2009 Foundation Compositio Mathematica.|
|Source Title:||Compositio Mathematica|
|Appears in Collections:||Staff Publications|
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