Please use this identifier to cite or link to this item: https://doi.org/10.1112/S0010437X09004278
Title: Polarized endomorphisms of uniruled varieties
Authors: Zhang, D.-Q. 
Fujimoto, Y.
Nakayama, N.
Keywords: polarized endomorphism
rationality of variety
uniruled variety
Issue Date: Jan-2010
Citation: 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
URI: http://scholarbank.nus.edu.sg/handle/10635/103943
ISSN: 0010437X
DOI: 10.1112/S0010437X09004278
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