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The Trigonometry of Harnack Curves
Derive an explicit integral formula for the amoeba-to-coamoeba mapping in the case of polynomials that define Harnack curves. As a consequence obtain an exact description of the coamoebas of such polynomials. This formula can be viewed as a generalization of the familiar law of cosines that is used for solving triangles.
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Тэги
Harnack curves
amoeba of polynomial
coamoeba of polynomial
Newton polygon
Ronkin function
law of cosines.
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