Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism

2019/08/30 by Matsuzawa, Yohsuke, Yoshikawa, Shou
#08A35 #14E30 #37P55 #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1908.11537

Abstract

We prove Kawaguchi-Silverman conjecture for all surjective endomorphisms on every smooth rationally connected variety admitting an int-amplified endomorphism.

Related

• Kawaguchi-Silverman conjecture for int-amplified endomorphism
• Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties
• A note on Kawaguchi-Silverman conjecture
• Endomorphisms of a variety of Ueno type and Kawaguchi-Silverman Conjecture
• Characterization of toric varieties via int-amplified endomorphisms