5 papers
Computing Cox rings via the cone conjecture
Tomoki Oda, José Ignacio Yáñez, Juan Pablo Zúñiga
We initiate a program to study the Cox ring of Calabi-Yau varieties, employing the notion of Morrison-Kawamata dream spaces. In this setting, we establish an analogue of the Hu-Kee…
Bott-Chern complexity of Kähler pairs
Christopher Hacon, Joaquín Moraga, José Ignacio Yáñez
We introduce the Bott-Chern complexity of a compact Kähler pair . This invariant compares , and the sum of the coefficients of . When…
Complexity one varieties are cluster type
Joshua Enwright, Jennifer Li, José Ignacio Yáñez
The complexity of a Calabi-Yau pair is an invariant that relates the dimension of , the rank of the group of divisors, and the coefficients of . If the complexity is…
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…
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.…