J. Moraga

collaborators

8 papers

math.AG2025

Hyperbolicity of adjoint linear series on varieties with positive tangent bundle

Atsushi Ito, Joaquín Moraga, Debaditya Raychaudhury +1

Let $X$ be a smooth projective variety of dimension $n \geq 3$ , and let $L$ be an ample line bundle on $X$ . In this article, we study the algebraic hyperbolicity of a very general s…

math.AG2025

Fano compactifications of mutation algebras

Joshua Enwright, Luca Francone, Joaquín Moraga +1

In this article, we introduce the notion of mutation semigroup algebras. This concept simultaneously generalizes cluster algebras and semigroup algebras. We show that, under some m…

math.AG2025

Characterization of products of projective spaces via nef complexity

Joshua Enwright, Stefano Filipazzi, Yoshinori Gongyo +4

We define the nef complexity of a projective variety $X$ . This invariant compares $dim X + ρ (X)$ with the sum of the coefficients of nef partitions of $- K_{X}$ . We prove that the nef…

math.AG2025

Degenerations of cluster type varieties

Joaquín Moraga, Juan Pablo Zúñiga

We study degenerations of cluster type varieties and pairs. Our first theorem proves that degenerations of toric pairs are finite quotients of toric pairs. In a similar vein, under…

math.AG2025

Bott-Chern complexity of Kähler pairs

Christopher Hacon, Joaquín Moraga, José Ignacio Yáñez

We introduce the Bott-Chern complexity of a compact Kähler pair $(X, B)$ . This invariant compares $dim (X)$ , $dim H_{BC}^{1, 1} (X)$ and the sum of the coefficients of $B$ . When…

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…