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Polarized endomorphisms of complex normal varieties

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Abstract

It is shown that a complex normal projective variety has non-positive Kodaira dimension if it admits a non-isomorphic quasi-polarized endomorphism. The geometric structure of the variety is described by methods of equivariant lifting and fibrations.

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Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

    Noboru Nakayama

  2. Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore

    De-Qi Zhang

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  1. Noboru Nakayama
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  2. De-Qi Zhang
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Correspondence to De-Qi Zhang.

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Nakayama, N., Zhang, DQ. Polarized endomorphisms of complex normal varieties. Math. Ann. 346, 991–1018 (2010). https://doi.org/10.1007/s00208-009-0420-y

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  • DOI: https://doi.org/10.1007/s00208-009-0420-y

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