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This article is cited in 1 scientific paper (total in 1 paper)
The trigonometry of Harnack curves
Mikael Passare
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 polynomials. This formula can be viewed as a generalization of the familiar law of cosines that is used for solving triangles.
Keywords:
Harnack curves, amoeba of polynomial, coamoeba of polynomial, Newton polygon, Ronkin function, law of cosines.
DOI:
https://doi.org/10.17516/1997-1397-2016-9-3-347-352
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UDC:
519.21 Received: 20.06.2016 Received in revised form: 20.06.2016 Accepted: 20.06.2016
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Citation:
Mikael Passare, “The trigonometry of Harnack curves”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 347–352
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\by Mikael~Passare
\paper The trigonometry of Harnack curves
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 3
\pages 347--352
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