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math.AG2024
Gorenstein-Fano polytopes and compactifications of rank 2 polyptych lattices
Adrian Cook, Laura Escobar, Megumi Harada +1
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…
math.AG2024
Geometric families of degenerations from mutations of polytopes
Laura Escobar, Megumi Harada, Christopher Manon
We introduce the notion of a polyptych lattice, which encodes a collection of lattices related by piecewise linear bijections. We initiate a study of the new theory of convex geome…