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math.AG2024
Calabi-Yau pairs of complexity two
Joaquín Moraga, José Ignacio Yáñez
A Calabi-Yau pair of index one and complexity zero is toric. Furthermore, a Calabi-Yau pair of index one and complexity one is of cluster type. In this article, we study Calabi-Yau…
math.AG2024
Polarized endomorphisms of log Calabi-Yau pairs
Joaquín Moraga, José Ignacio Yáñez, Wern Yeong
Let be a dlt log Calabi-Yau pair admitting a polarized endomorphism. We show that is a finite quotient of a toric log Calabi-Yau fibration over an abelian variety.…
math.AG2024
Polarized endomorphisms of Fano varieties with complements
Joaquín Moraga, José Ignacio Yáñez, Wern Yeong
Let be a Fano type variety and be a log Calabi-Yau pair with a Weil divisor. If admits a polarized endomorphism, then we show that is a finite quoti…