Real algebraic curves, the moment map and amoebas

Details Real algebraic curves, the moment map and amoebas Real algebraic curves, the moment map and amoebas

2000-10-02

arxiv.org/abs/math/0010018v1

Ann. of Math. (2) 151 (2000), no. 1, 309--326

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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.

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