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arxiv: 1412.1585 · v1 · pith:TT62E4IZnew · submitted 2014-12-04 · 🧮 math.CV · math.AG· math.CO

A Ronkin type function for coamoebas

classification 🧮 math.CV math.AGmath.CO
keywords functionronkincoamoebastypeamoebasanaloguearrangementcertain
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The Ronkin function plays a fundamental role in the theory of amoebas. We introduce an analogue of the Ronkin function in the setting of coamoebas. It turns out to be closely related to a certain toric arrangement known as the shell of the coamoeba and we use our Ronkin type function to obtain some properties of it.

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