Generic Tropical Varieties
arXiv:0904.0120 · doi:10.1016/j.jpaa.2011.05.012
Abstract
We show that in the constant coefficient case the generic tropical variety of a graded ideal exists. This can be seen as the analogon to the existence of the generic initial ideal in Groebner basis theory. We determine the generic tropical variety as a set in general and as a fan for principal ideals and linear ideals.
15 pages; corrected version