Polarized endomorphisms of complex normal varieties
By Noboru Nakayama, De-Qi Zhang. 2009
80 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f9cf4d88006229c18fc94c0d6784b00d721f0ee9
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Building blocks of polarized endomorphisms of normal projective varieties (2016, background): “21] and hence dim(S) = q◦(S) = 0 in the notation of [32] as in their definition of weak Calabi-Yau.”
- Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of Abelian varieties (2013, background): “, such that (γ∗E)∗∗ is locally free and flat, that is, (γ∗E)∗∗ is given by a linear representation of π 1(Xe). 1.5. Characterisation of torus quotients: varieties admitting polarised endomorphisms. In [NZ10], Nakayamaand Zhang study the structure of varieties admitting polarised endomorphisms —the no”