Amoebas of half-dimensional varieties

Monday, 15 December, 2014

An n-dimensional algebraic variety in ({\mathbb C}^\times)^{2n} covers its amoeba as well as its coamoeba generically finite-to-one. We provide an upper bound for the volume of these amoebas as well as for the number of points in the inverse images under the amoeba and coamoeba maps.


Grigory Mikhalkin