Real algebraic curves, the moment map and amoebas
成果类型:
Article
署名作者:
Mikhalkin, G
刊物名称:
ANNALS OF MATHEMATICS
ISSN/ISSBN:
0003-486X
DOI:
10.2307/121119
发表日期:
2000
页码:
309-326
关键词:
摘要:
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.