The coamoeba of an algebraic variety 
is the image of 
under the coordinatewise argument map
 |
It is therefore a subset of the real 
-torus 
. The amoeba and coamoeba
are complementary images of the same algebraic variety:
the amoeba records the logarithms
of the complex moduli of its coordinates and discards
their complex arguments, while the coamoeba records
the arguments and discards the moduli.
