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Abstract: We show that in the constant coefficient case the generic tropical variety ofa graded ideal exists. This can be seen as the analogon to the existence of thegeneric initial ideal in Groebner basis theory. We determine the generictropical variety as a set in general and as a fan for principal ideals andlinear ideals.



Author: Tim Roemer, Kirsten Schmitz

Source: https://arxiv.org/



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