A Ronkin type function for coamoebas
Journal article, 2017
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.
Ronkin function
Toric arrangement
Coamoeba
Author
Petter Johansson
Stockholm University
Håkan Samuelsson Kalm
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Published in
Journal of Geometric Analysis
1050-6926 (ISSN)
Vol. 27 Issue 1 p. 643-670Categorizing
Subject Categories (SSIF 2011)
Mathematics
Geometry
Mathematical Analysis
Roots
Basic sciences
Identifiers
DOI
10.1007/s12220-016-9693-z