Real algebraic curves , the moment map and amoebas

  title={Real algebraic curves , the moment map and amoebas},
  author={G. Mikhalkin},
  • G. Mikhalkin
  • Published 2000
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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