The group law on a tropical elliptic curve

By Magnus Dehli Vigeland. 2004

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In analogy with the classical group law on a plane cubic curve, we define a group law on a smooth plane tropical cubic curve. We show that the resulting group is isomorphic to $S^1$.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9e606e851842d3f0cb26ca09f8456d7de9e498f7