On the topology of the coamoeba

University dissertation from Stockholm : Department of Mathematics, Stockholm University

Author: Petter Johansson; Stockholms Universitet.; [2014]

Keywords: NATURVETENSKAP; NATURAL SCIENCES; Coamoeba; Ronkin function; matematik; Mathematics;

Abstract: In this thesis we study the topology and geometry of the coamoeba of an algebraic variety V. The strategy that we use is to relate the coamoebas corresponding to the initial varieties of V to the coamoeba of V. We also define an analogue of the Ronkin function for the coamoeba and give an explicit formula for it.

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