Amoeba finite basis does not exist in general
Algebraic Geometry
2014-03-18 v1 Complex Variables
Abstract
We show that the amoeba of a generic complex algebraic variety of codimension 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 \cite{SW-13}.
Cite
@article{arxiv.1403.3912,
title = {Amoeba finite basis does not exist in general},
author = {Mounir Nisse},
journal= {arXiv preprint arXiv:1403.3912},
year = {2014}
}
Comments
12 pages, 4 figures