22 citations · 26 across the 3 of their papers we have counts for
3 papers
math.AG2007★ 4 cited
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…
math.AG2007
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…
math.AG2004★ 22 cited
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…