Characterization of toric varieties via int-amplified endomorphisms

Yoshikawa, Shou

doi:10.1090/proc/15621

Characterization of toric varieties via int-amplified endomorphisms
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by Shou Yoshikawa

Proc. Amer. Math. Soc. 149 (2021), 4661-4668

DOI: https://doi.org/10.1090/proc/15621

Published electronically: August 6, 2021

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Abstract:

In this paper, we obtain a characterization of toric varieties via int-amplified endomorphisms. We prove that if $f \colon X \to X$ is an int-amplified endomorphism of a smooth complex projective variety $X$, then $X$ is toric if and only if $f_*L$ is a direct sum of line bundles on $X$ for every line bundle $L$.

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