3 papers
math.AG2026
Valuative independence and cluster theta reciprocity
Man-Wai Cheung, Timothy Magee, Travis Mandel +1
We prove that theta functions constructed from positive scattering diagrams satisfy valuative independence. That is, for certain valuations , we have $\oper…
hep-th2026
Clustering Cluster Algebras with Clusters
Man-Wai Cheung, Pierre-Philippe Dechant, Yang-Hui He +3
Classification of cluster variables in cluster algebras (in particular, Grassmannian cluster algebras) is an important problem, which has direct application to computations of scat…
math.AG2024
Newton--Okounkov bodies and minimal models for cluster varieties
Lara Bossinger, Man-Wai Cheung, Timothy Magee +1
Let be a (partial) minimal model of a scheme with a cluster structure. Under natural assumptions, for every choice of seed we associate a Newton--Okounkov body to every div…