J. Moraga

collaborators

10 papers

math.AG2026

Birational complexity and conic fibrations

JoaquÃn Moraga

Let $(X, B)$ be a log Calabi-Yau pair of dimension $n$ , index one, and birational complexity $c$ . We show that $(X, B)$ has a crepant birational model that admits a tower of Mori fib…

math.AG2026

Degenerations of cluster type varieties

JoaquÃn Moraga, Juan Pablo ZÃºÃ±iga

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

Hyperbolicity of adjoint linear series on varieties with positive tangent bundle

Atsushi Ito, JoaquÃn 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, JoaquÃn 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 $dim X + I ¨ (X)$ with the sum of the coefficients of nef partitions of $- K_{X}$ . We prove that the nef…

math.AG2025

Toricity in families of Fano varieties

Lena Ji, JoaquÃn Moraga

Rationality is not a constructible property in families. In this article, we consider stronger notions of rationality and study their behavior in families of Fano varieties. We fir…