Joshua Enwright

collaborators

4 papers

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

Complexity one varieties are cluster type

The complexity of a Calabi-Yau pair $(X, B)$ is an invariant that relates the dimension of $X$ , the rank of the group of divisors, and the coefficients of $B$ . If the complexity is…

math.AG2024

Log Calabi--Yau pairs of complexity zero and arbitrary index

Joshua Enwright, Fernando Figueroa

In this article, we give a characterization of log Calabi--Yau pairs of complexity zero and arbitrary index. As an application, we show that a log Calabi--Yau pair of birational co…