22 citations · 26 across the 3 of their papers we have counts for
4 papers
Tropical complete intersection curves
Magnus Dehli Vigeland
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…
Tropical Lines on Cubic Surfaces
Marta Panizzut, Magnus Dehli Vigeland
Given a tropical line and a smooth tropical surface , we look at the position of on . We introduce its primal and dual motif which are respectively a decorated graph…
Smooth tropical surfaces with infinitely many tropical lines
Magnus Dehli Vigeland
We study the tropical lines contained in smooth tropical surfaces in R^3. On smooth tropical quadric surfaces we find two one-dimensional families of tropical lines, like in classi…
The group law on a tropical elliptic curve
Magnus Dehli Vigeland
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…