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The Trigonometry of Harnack Curves
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 1
2016 (English)In: Journal of Siberian Federal University. Mathematics & Physics, ISSN 1997-1397, Vol. 9, no 3, 347-352 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2016. Vol. 9, no 3, 347-352 p.
Keyword [en]
Harnack curves, amoeba of polynomial, coamoeba of polynomial, Newton polygon, Ronkin function, law of cosines
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-148113DOI: 10.17516/1997-1397-2016-9-3-347-352ISI: 000412010000010OAI: oai:DiVA.org:su-148113DiVA: diva2:1149676
Available from: 2017-10-16 Created: 2017-10-16 Last updated: 2017-10-16Bibliographically approved

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