Combinatorial patchworking: Back from tropical geometry
Erwan Brugallé,
Lucía López de Medrano,
Johannes Rau
Abstract:We show that, once translated to the dual setting of convex triangulations of lattice polytopes, results and methods from Arnal, Renaudineau, and Shaw [Ann. H. Lebesgue 4 (2021), pp. 1347–1387], Renaudineau and Shaw [Ann. Sci. Éc. Norm. Supér. (4) 56 (2023), pp. 945–980], Jell, Rau, and Shaw [Épijournal Géom. Algébrique 2 (2018), p. 27] and Reanaudineau, Rau, and Shaw [Real phase structures on tropical manifolds and patchworks in higher codimension, in preparation] extend to non-convex triangulations. So, whil… Show more
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