A note on Kawaguchi-Silverman conjecture
Algebraic Geometry
2020-03-04 v1
Abstract
We collect some results on endomorphisms on projective varieties related with the Kawaguchi-Silverman conjecture. We discuss certain condition on automorphism groups of projective varieties and positivity conditions on leading real eigendivisors of self-morphisms. We prove Kawaguchi-Silverman conjecture for endomorphisms on projective bundles on a smooth Fano variety of Picard number one. In the last section, we discuss endomorphisms and augmented base loci of their eigendivisors.
Cite
@article{arxiv.2003.01161,
title = {A note on Kawaguchi-Silverman conjecture},
author = {Sichen Li and Yohsuke Matsuzawa},
journal= {arXiv preprint arXiv:2003.01161},
year = {2020}
}
Comments
11 pages