Amoeba finite basis does not exist in general
Abstract
We show that the amoeba of a generic complex algebraic variety of codimension 1<r<n do not have a finite basis. In other words, it is not the intersection of finitely many hypersurface amoebas. Moreover we give a geometric characterization of the topological boundary of hypersurface amoebas refining an earlier result of F. Schroeter and T. de Wolff SW-13.
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