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math.AG2020★ 1 cited
Tropical compactification via Ganter's algorithm
Lars Kastner, Kristin Shaw, Anna-Lena Winz
We describe a canonical compactification of a polyhedral complex in Euclidean space. When the recession cones of the polyhedral complex form a fan, the compactified polyhedral comp…
math.AG2018
Bounding the Betti numbers of real hypersurfaces near the tropical limit
Arthur Renaudineau, Kristin Shaw
We prove a bound conjectured by Itenberg on the Betti numbers of real algebraic hypersurfaces near non-singular tropical limits. These bounds are given in terms of the Hodge number…