Journal of Siberian Federal University. Mathematics & Physics / The Trigonometry of Harnack Curves

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (3)
Authors
Passare, Mikael
Contact information
Passare, Mikael
Keywords
Harnack curves; amoeba of polynomial; coamoeba of polynomial; Newton polygon; Ronkin function; law of cosines
Abstract

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 polynomi- als. This formula can be viewed as a generalization of the familiar law of cosines that is used for solving triangles

Pages
347–352
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/20401