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arxiv: 1601.05468 · v1 · pith:2LLD73TCnew · submitted 2016-01-20 · 🧮 math.AG

Coamoebas of polynomials supported on circuits

classification 🧮 math.AG
keywords coamoebasboundcircuitscoamoebapolynomialssupportedareacomplement
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We study coamoebas of polynomials supported on circuits. Our results include an explicit description of the space of coamoebas, a relation between connected components of the coamoeba complement and critical points of the polynomial, an upper bound on the area of a planar coamoeba, and a recovered bound on the number of positive solutions of a fewnomial system.

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