Linear pencils of tropical plane curves

Details Linear pencils of tropical plane curves Linear pencils of tropical plane curves

2011-05-05

arxiv.org/abs/1105.1025v2

Mathematics

Algebraic Geometry

13 pages, 5 figures

Scientific paper

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.

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