From the 1 of 6 linked papers with an AI index.
6 papers
Computing Cox rings via the cone conjecture
Tomoki Oda, José Ignacio Yáñez, Juan Pablo Zúñiga
The paper develops methods to compute Cox rings of Calabi‑Yau varieties by using Morrison‑Kawamata dream spaces, establishing a link between small Q‑factorial modifications and GIT…
MMP for Generalized Pairs on Kähler 3-folds
Omprokash Das, Christopher Hacon, José Ignacio Yáñez
In this article we define generalized pairs where is an analytic variety and is a b-(1,1) current. We then prove that almost all standard…
Calabi-Yau pairs of complexity two
JoaquÃn 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
JoaquÃn 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…
Bott-Chern complexity of Kähler pairs
Christopher Hacon, JoaquÃn 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…