Generic Tropical Varieties

Tim Roemer, Kirsten Schmitz
Arxiv ID: 0904.0120Last updated: 5/18/2021
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.

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