3 papers
math.CO2026
Factorization structures, cones, and polytopes
Roland PúÄek
Factorization structures occur in toric differential and discrete geometry, and can be viewed in multiple ways, e.g., as objects determining substantial classes of explicit toric S…
math.DG2025
Toric separable geometries and extremal Kähler metrics
Roland PúÄek
This paper introduces the framework of (local) toric separable geometries, where toric separable Kähler geometries come in families, each uniquely determined by an underlying fact…
math.CO2024
Veronese polytopes: Extending the framework of cyclic polytopes
Marie-Charlotte Brandenburg, Roland PúÄek
This article introduces the theory of Veronese polytopes, a broad generalisation of cyclic polytopes. These arise as convex hulls of points on curves with one or more connected com…