Tim Römer
,
Kirsten Schmitz
MSC 2000
- 13F20 Polynomial rings and ideals; rings of integer-valued polynomials
-
13P10 Polynomial ideals, Gröbner bases
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, linear ideals and ideals in low dimension.
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