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math.CO2024
Basecondary polytopes
Alexander Esterov, Arina Voorhaar
Many (if not most) of convex polytopes, important for combinatorial and algebraic geometry, are closely related to secondary polytopes of point configurations, or base polytopes of…
math.AG2024
Gauss--Bonnet for CSM classes of very affine manifolds, and tropical isotopies
Alexander Esterov
The CSM class of a very affine manifold is represented by the rank drop locus of a general tuple of torus invariant 1-forms on it. This equality holds in the homology of any to…