Real algebraic curves, the moment map and amoebas
Algebraic Geometry
2007-05-24 v1
Abstract
In this paper we prove the topological uniqueness of maximal arrangements of a real plane algebraic curve with respect to three lines. More generally, we prove the topological uniqueness of a maximally arranged algebraic curve on a real toric surface. We use the moment map as a tool for studying the topology of real algebraic curves and their complexifications.
Keywords
Cite
@article{arxiv.math/0010018,
title = {Real algebraic curves, the moment map and amoebas},
author = {G. Mikhalkin},
journal= {arXiv preprint arXiv:math/0010018},
year = {2007}
}
Comments
18 pages