Polarized endomorphisms of Fano varieties with complements

2024/01/27 by Moraga, Joaquín, Yáñez, José Ignacio, Yeong, Wern · 1 citation
#14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 08A35 #Secondary 14F35

paper · doi:10.48550/arxiv.2401.15506

Abstract

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

Cited by

• Dynamical Iitaka theory on Fano contractions

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