  The amoeba of a complex curve in the 2-dimensional complex torus is its image
under the projection onto the real subspace in the logarithmic scale. The
complement to an amoeba is a disjoint union of connected components that are
open and convex. A toric cycle is a 2-cycle in the complement to a curve
associated with a component of the complement to an amoeba. We prove
homological independence of toric cycles in the complement to a complex
algebraic curve with amoeba of maximal area.
