Intersection multiplicity numbers between tropical hypersurfaces
Benoît Bertrand, Frédéric Bihan · Contemporary mathematics - American Mathematical Society · 2013
We present several formulas for the intersection multiplicity numbers considered in our paper Euler characteristic of real nondegenerate tropical complete intersections . These numbers are associated to any dimensional cell of the common intersection of the tropical hypersurfaces. The first formula involves a sum of generalized mixed volumes, and turns out to be equal to the absolute value of the Euler characteristic of some complex toric complete intersection. Another formula uses an alternating sum of volumes of Cayley polytopes.