10 citations · 17 across the 5 of their papers we have counts for
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math.AC2009★ 4 cited
Algebraic Properties of Generic Tropical Varieties
Tim Roemer, Kirsten Schmitz
We show that the algebraic invariants multiplicity and depth of a graded ideal in the polynomial ring are closely connected to the fan structure of its generic tropical variety in…
math.AC2009★ 10 cited
Generic Tropical Varieties
Tim Roemer, Kirsten Schmitz
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…