Building blocks of etale endomorphisms of complex projective manifolds

Abstract

Etale endomorphisms of complex projective manifolds are constructed from two building blocks up to isomorphism if the good minimal model conjecture is true. They are the endomorphisms of abelian varieties and the nearly etale rational endomorphisms of weak Calabi-Yau varieties.

Proceedings of the London Mathematical Society (to appear)

Cited by in corpus (5)

• Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties
• Polarized endomorphisms of uniruled varieties (with Appendix by Y. Fujimoto and N. Nakayama)
• Non-density of points of small arithmetic degrees
• Towers of regular self-covers and linear endomorphisms of tori
• Advances in the equivariant minimal model program and their applications in complex and arithmetic dynamics