100 citations · 333 across the 26 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…
math.AC2009★ 50 cited
Koszul homology and syzygies of Veronese subalgebras
Winfried Bruns, Aldo Conca, Tim Roemer
A graded K-algebra R has property N_p if it is generated in degree 1, has relations in degree 2 and the syzygies of order less or equal to p on the relations are linear. The Green-…