3 papers
math.AG2026
Cluster type varieties
JoaquÃn Moraga
Cluster type varieties are compactifications of algebraic tori on which the volume form has no zeros. These form a natural class of varieties that generalizes both toric varieties…
math.AG2025
Termination of pseudo-effective 4-fold flips
JoaquÃn Moraga
Let be a log canonical -fold over an algebraically closed field of characteristic zero. We prove that any sequence of -flips terminates.
math.AG2025
Fundamental groups of log Calabi-Yau surfaces
Cécile Gachet, Zhining Liu, JoaquÃn Moraga
In this article, we study the orbifold fundamental group of a Calabi--Yau pair with log canonical singularities. We conjecture that the orbifold fun…