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arxiv: 0711.1962 · v1 · submitted 2007-11-13 · 🧮 math.AG · math.CO

Tropical complete intersection curves

classification 🧮 math.AG math.CO
keywords tropicalintersectioncompletehypersurfacesnumbersmoothcomputeconnected
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A tropical complete intersection curve C in R^(n+1) is a transversal intersection of n smooth tropical hypersurfaces. We give a formula for the number of vertices of C given by the degrees of the tropical hypersurfaces. We also compute the genus of C (defined as the number of independent cycles of C) when C is smooth and connected.

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