The phase limit set of a coamoeba
Frank Sottile
A complex coamoeba is the image of a subvariety of a complex
torus under the argument map to the real torus. Similarly,
a non-archimedean coamoeba is the image of a subvariety of a
torus over a complex Puiseaux field under its argument map.
We describe the structure of non-archimedean coamoebae in
terms of complex coamoebae and use the logarithmic limit set
to describe the boundary of complex coamoebae. Detailed
examples of lines in three-dimensional space illustrate
and motivate these results. This is joint work with
Mounir Nisse.