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On the number of intersection points of the contour of an amoeba with a line

On the number of intersection points of the contour of an amoeba with a line

In this note, we investigate the maximal number of intersection points of a line with the contour of hypersurface amoebas in R n .We define the latter number to be the R-degree of the contour.We also investigate the R-degree of related sets such as the boundary of amoebas and the …