Complex tropical localization, coamoebas, and mirror tropical hypersurfaces
Algebraic Geometry
2009-12-05 v1 Mathematical Physics
Complex Variables
Geometric Topology
math.MP
Abstract
We introduce in this paper the concept of tropical mirror hypersurfaces and we prove a complex tropical localization Theorem which is a version of Kapranov's Theorem \cite{K-00} in tropical geometry. We give a geometric and a topological equivalence between coamoebas of complex algebraic hypersurfaces defined by a maximally sparse polynomial and coamoebas of maximally sparse complex tropical hypersurfaces.
Keywords
Cite
@article{arxiv.0806.1959,
title = {Complex tropical localization, coamoebas, and mirror tropical hypersurfaces},
author = {Mounir Nisse},
journal= {arXiv preprint arXiv:0806.1959},
year = {2009}
}
Comments
20 pages, 24 figures