We study amoebas of the principal -determinant in relationship with the lopsidedness condition: the (co)amoeba of the principal -determinant stratifies the space of lopsided (co)amoebas according to equivalence of order maps — a refinement of topological equivalence. We extend Nilsson and Passare’s description of the coamoeba of the -discriminant to the case when defines a projective toric curve. As an application, we compute coefficients of transition matrices necessary when gluing local monodromy groups of -hypergeometric systems.
"Discriminant amoebas and lopsidedness." J. Commut. Algebra 13 (1) 41 - 60, Spring 2021. https://doi.org/10.1216/jca.2021.13.41