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arXiv · 2401.15506

Polarized endomorphisms of Fano varieties with complements

Joaquín Moraga·José Ignacio Yáñez·Wern Yeong
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Abstract

Let $X$ be a Fano type variety and $(X,\Delta)$ be a log Calabi-Yau pair with $\Delta$ a Weil divisor. If $(X,\Delta)$ admits a polarized endomorphism, then we show that $(X,\Delta)$ is a finite quotient of a toric pair. Along the way, we prove that a klt Calabi-Yau pair $(X,\Delta)$ with standard coefficients that admits a polarized endomorphism is the quotient of an abelian variety.

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Joaquín Moraga, José Ignacio Yáñez, Wern Yeong. 2024-01-27. Polarized endomorphisms of Fano varieties with complements. https://arxiv.org/abs/2401.15506

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