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Gorenstein-Fano polytopes and compactifications of rank 2 polyptych lattices

Gorenstein-Fano polytopes and compactifications of rank 2 polyptych lattices

The notion of polyptych lattices, introduced by Escobar, Harada, and Manon, wraps the data of a collection of lattices related by piecewise-linear bijections together into a single semi-algebraic object, equipped with its own notions of convexity and polyhedra. The main purpose of this manuscript is to construct an explicit family …