3 papers
math.AG2025
Mysterious duality and helical line bundles on del Pezzo surfaces
Alastair King
Mysterious duality is a relationship, described by Vafa in 2000, between -BPS branes in Type II supergravity in dimension and rational curves on del Pezzo surfaces…
math.RA2025
2-periodic frieze patterns
Alastair King, Toril Palaniappan
We classify 2-periodic mesh friezes of finite type , or with positive real entries. There are families with 0,1, or 2 parameters, depending on type.
math.RT2025
Categorification and mirror symmetry for Grassmannians
Bernt Tore Jensen, Alastair King, Xiuping Su
The homogeneous coordinate ring of the Grassmannian is a cluster algebra, with an additive categorification . Thus every $M…