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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 3, Pages 347–352
DOI: https://doi.org/10.17516/1997-1397-2016-9-3-347-352 (Mi jsfu493) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The trigonometry of Harnack curves

Mikael Passare
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DOI: https://doi.org/10.17516/1997-1397-2016-9-3-347-352
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.
Received: 20.06.2016
Received in revised form: 20.06.2016
Accepted: 20.06.2016
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: English
Citation: Mikael Passare, “The trigonometry of Harnack curves”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 347–352
Citation in format AMSBIB
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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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\crossref{https://doi.org/10.17516/1997-1397-2016-9-3-347-352}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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