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Gelfand, I
1994
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Forsberg
2000
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Rullgård, H
2003
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2012

On the order map for hypersurface coamoebas

Forsgård, Jens, Johansson, Petter

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Given a hypersurface coamoeba of a Laurent polynomial f, it is an open problem to describe the structure of its set of connected complement components.

In this paper we approach this problem by introducing the lopsided coamoeba.
We show that the closed lopsided coamoeba comes naturally equipped with an order map, i.e.
a map v from its set of connected complement components to a translated lattice inside the zonotope of a Gale dual of the point configuration supp(f).