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arXiv · 2010.06426

Characterization of toric varieties via int-amplified endomorphisms

Shou Yoshikawa
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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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Shou Yoshikawa. 2020-10-13. Characterization of toric varieties via int-amplified endomorphisms. https://arxiv.org/abs/2010.06426

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