Tropical complete intersection curves
Algebraic Geometry
2007-11-14 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.0711.1962,
title = {Tropical complete intersection curves},
author = {Magnus Dehli Vigeland},
journal= {arXiv preprint arXiv:0711.1962},
year = {2007}
}
Comments
13 pages, 7 figures