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math.AG2023
Real phase structures on tropical manifolds and patchworks in higher codimension
Johannes Rau, Arthur Renaudineau, Kris Shaw
This paper generalises the homeomorphism theorem behind Viro's combinatorial patchworking of hypersurfaces in toric varieties to arbitrary codimension using tropical geometry. We f…
math.CO2023★ 1 cited
Chern Classes of Tropical Manifolds
Lucía López de Medrano, Felipe Rincón, Kris Shaw
We extend the definitions of Chern-Schwartz-MacPherson (CSM) cycles of matroids to tropical manifolds. To do this, we provide an alternate description of CSM cycles of matroids whi…