4 problems

Let $\X=\G/\P$ be a homogeneous space with a dominant weight $\varpi$ yielding a projective embedding $\X\hookrightarrow\bP(V_\varpi)$, and let $\bs$ be a reduced expression for…

Let $A(\Gamma)$ be a cluster algebra satisfying the assumptions of Theorem, and suppose it has a finite global Khovanskii basis, meaning a finite set of algebra generators that is…

Let $\Sigma$ be a fan, let $I$ be the ideal defining the fiber data, and let $\Delta(\Sigma, \operatorname{Trop}_\star(I))$ denote the set of diagrams for bundles over the toric va…

Let $G$ be a generic subspace defining the Cox–Nagata ring and its associated rational convex polytope for a del Pezzo surface of degree $3$. Sturmfels and Xu's minimal-inequality…