Linear pencils of tropical plane curves
Algebraic Geometry
2011-06-21 v2 Combinatorics
Abstract
Analogously as in classical algebraic geometry, linear pencils of tropical plane curves are parameterized by tropical lines in a coefficient space. A special example of such a linear pencil is the set of tropical plane curves with an n-element support set through a general configuration of n points in the tropical plane. In [RGST], it is proved that these linear pencils are compatible with their support set. In this article, we give a characterization of points lying in the fixed locus of a tropical linear pencil and show that each compatible linear pencil comes from a general configuration.
Keywords
Cite
@article{arxiv.1105.1025,
title = {Linear pencils of tropical plane curves},
author = {Filip Cools},
journal= {arXiv preprint arXiv:1105.1025},
year = {2011}
}
Comments
13 pages, 5 figures