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Toric configuration spaces: the bipermutahedron and beyond

Toric configuration spaces: the bipermutahedron and beyond

Abstract We establish faithful tropicalisation for point configurations on algebraic tori. Building on ideas from enumerative geometry, we introduce tropical scaffolds and use them to construct a system of modular fan structures on the tropical configuration spaces. The corresponding toric varieties provide modular compactifications of the algebraic configuration spaces, with …