A Ronkin type function for coamoebas
Petter Johansson, H{\aa}kan Samuelsson Kalm
TL;DR
This paper introduces a Ronkin-type function for coamoebas, establishing its connection to toric arrangements and using it to derive properties of the coamoeba shell.
Contribution
It presents a novel Ronkin-type function tailored for coamoebas, expanding the analytical tools available for their study.
Findings
Established a new Ronkin-type function for coamoebas
Linked the function to the shell of the coamoeba and toric arrangements
Derived properties of the coamoeba shell using the new function
Abstract
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds