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arxiv: math/0503279 · v3 · pith:3ST7VWTGnew · submitted 2005-03-15 · 🧮 math.MG · math.CO

Tropical Convexity via Cellular Resolutions

classification 🧮 math.MG math.CO
keywords tropicalcellularconvexalgebracommutativecomputationalcomputeconvexity
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The tropical convex hull of a finite set of points in tropical projective space has a natural structure of a cellular free resolution. Therefore, methods from computational commutative algebra can be used to compute tropical convex hulls. Tropical cyclic polytopes are also presented.

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