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arxiv: 0908.1688 · v2 · pith:ZAVE2SYEnew · submitted 2009-08-12 · 🧮 math.AG · math.DS

Polarized endomorphisms of complex normal varieties

classification 🧮 math.AG math.DS
keywords complexendomorphismsnormalprojectivevarietyadmitsdescribeddimension
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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. (For endomorphisms of projective spaces, see version 1).

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