Can I read Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties on EtoBox?

Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties by Matsuzawa, Yohsuke is a scholarly article available to read on EtoBox.

What is Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties about?

We prove Kawaguchi-Silverman conjecture (KSC) and Shibata's conjecture on ample canonical heights for endomorphisms on several classes of algebraic varieties including varieties of Fano type and projective toric varieties. We also prove KSC for group endomorphisms of linear algebraic groups. We also propose a possible approach to the conjecture using equivariant MMP.

Author

Matsuzawa, Yohsuke

Published

2019

Language

EN