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Real algebraic curves, the moment map and amoebas

G. Mikhalkin
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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.

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G. Mikhalkin. 2000-10-02. Real algebraic curves, the moment map and amoebas. https://arxiv.org/abs/math/0010018

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