Smooth tropical surfaces with infinitely many tropical lines
Algebraic Geometry
2007-12-08 v2 Combinatorics
Abstract
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 classical algebraic geometry. Unlike the classical case, however, there exist smooth tropical surfaces of any degree with infinitely many tropical lines.
Cite
@article{arxiv.math/0703682,
title = {Smooth tropical surfaces with infinitely many tropical lines},
author = {Magnus Dehli Vigeland},
journal= {arXiv preprint arXiv:math/0703682},
year = {2007}
}
Comments
27 pages, 12 figures. v2: Errors corrected, notation improved, referances added, Example 9.3 new