%0 Journal Article %T Generic Tropical Varieties %A Tim Roemer %A Kirsten Schmitz %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0904.0120v2