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  • Volume 146 , Issue 1
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Broustet, Amaël and Höring, Andreas 2014. Singularities of varieties admitting an endomorphism. Mathematische Annalen, Vol. 360, Issue. 1-2, p. 439.

    Zhang, De-Qi 2014. Invariant hypersurfaces of endomorphisms of projective varieties. Advances in Mathematics, Vol. 252, p. 185.

    DINH, TIEN-CUONG NGUYÊN, VIÊT-ANH and TRUONG, TUYEN TRUNG 2012. ON THE DYNAMICAL DEGREES OF MEROMORPHIC MAPS PRESERVING A FIBRATION. Communications in Contemporary Mathematics, Vol. 14, Issue. 06, p. 1250042.

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Polarized endomorphisms of uniruled varieties. With an appendix by Y. Fujimoto and N. Nakayama

  • De-Qi Zhang (a1)
  • DOI: http://dx.doi.org/10.1112/S0010437X09004278
  • Published online: 21 December 2009
Abstract
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.

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COPYRIGHT: © Foundation Compositio Mathematica 2009
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Compositio Mathematica
  • ISSN: 0010-437X
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