Polarized endomorphisms of complex normal varieties

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. (For endomorphisms of projective spaces, see version 1).

Mathematische Annalen (to appear); no change; only shortened the paper by omitting the section on endomorphisms of projective space, which is still available in version 1

References in corpus (1)

• Questions on self maps of algebraic varieties

Cited by in corpus (1)

• Polarized endomorphisms of uniruled varieties (with Appendix by Y. Fujimoto and N. Nakayama)