%0 Journal Article
%T Tropical cycles and Chow polytopes
%A Alex Fink
%J Mathematics
%D 2010
%I arXiv
%X The Chow polytope of an algebraic cycle in a torus depends only on its tropicalisation. Generalising this, we associate a Chow polytope to any abstract tropical variety in a tropicalised toric variety. Several significant polyhedra associated to tropical varieties are special cases of our Chow polytope. The Chow polytope of a tropical variety $X$ is given by a simple combinatorial construction: its normal subdivision is the Minkowski sum of $X$ and a reflected skeleton of the fan of the ambient toric variety.
%U http://arxiv.org/abs/1001.4784v3