Higher convexity of coamoeba complements
Algebraic Geometry
2015-05-04 v4
Abstract
We show that the complement of the coamoeba of a variety of codimension k+1 is k-convex, in the sense of Gromov and Henriques. This generalizes a result of Nisse for hypersurface coamoebas. We use this to show that the complement of the nonarchimedean coamoeba of a variety of codimension k+1 is k-convex.
Keywords
Cite
@article{arxiv.1405.4900,
title = {Higher convexity of coamoeba complements},
author = {Mounir Nisse and Frank Sottile},
journal= {arXiv preprint arXiv:1405.4900},
year = {2015}
}
Comments
14 pages, 5 color figures, minor revisions