The group law on a tropical elliptic curve

Abstract

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 $S^1$.

13 pages, latex2e, 5 figures as pstex and pstex_t files

Cited by in corpus (5)

• The Maslov dequantization, idempotent and tropical mathematics: A brief introduction
• Jacobian varieties of reduced tropical curves
• Tropical conics for the layman
• Smooth tropical surfaces with infinitely many tropical lines
• A note on tropical triangles in the plane