Joaquín Moraga

activity

20142026

most citedThe Jordan property for local fundamental groups

15 citations · 77 across the 33 of their papers we have counts for

collaborators

41 papers

math.AG2026

Cluster type varieties

Joaquín 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.AG2024

The geometric cone conjecture in relative dimension two

Joaquín Moraga, Talon Stark

Let $X \to S$ be a fibration of relative dimension at most two and let $(X, Δ)$ be a klt pair for which $K_{X} + Δ \equiv_{S} 0$ . We show that there are only finitely many Mori cham…

math.AG2024

Polarized endomorphisms of Fano varieties with complements

Joaquín Moraga, José Ignacio Yáñez, Wern Yeong

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 quoti…

math.AG2023

Fundamental groups of log Calabi-Yau surfaces

Cécile Gachet, Zhining Liu, Joaquín Moraga

In this article, we study the orbifold fundamental group $π_{1}^{orb} (X, Δ)$ of a Calabi--Yau pair $(X, Δ)$ with log canonical singularities. We conjecture that the orbifold fundam…

math.AG2023★ 1 cited

Symmetries of Fano varieties

Louis Esser, Lena Ji, Joaquín Moraga

We study Fano varieties endowed with a faithful action of a symmetric group, as well as analogous results for Calabi--Yau varieties, and log terminal singularities. We show the exi…

math.AG2023★ 1 cited

Fundamental groups of low-dimensional lc singularities

Fernando Figueroa, Joaquín Moraga

In this article, we study the fundamental groups of low-dimensional log canonical singularities, i.e., log canonical singularities of dimension at most $4$ . In dimension $2$ , we sh…