Polarized endomorphisms of uniruled varieties

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
Appears in Collections:	Staff Publications

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