4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.AC2005★ 4 cited
Extensions of the Multiplicity Conjecture
Juan Migliore, Uwe Nagel, Tim Roemer
The Multiplicity conjecture of Herzog, Huneke, and Srinivasan states an upper bound for the multiplicity of any graded -algebra as well as a lower bound for Cohen-Macaulay algeb…
math.AC2004
Subdivisions of toric complexes
Morten Brun, Tim Roemer
We introduce toric complexes as polyhedral complexes consisting of rational cones together with a set of integral generators for each cone, and we define their associated face ring…
math.AC2003★ 2 cited
Betti numbers of Z^n-graded modules
Morten Brun, Tim Roemer
Let S=K[X_1,...,X_n] be the polynomial ring over a field K. For bounded below Z^n-graded S-modules M and N we show that if Tor^S_p(M,N) is nonzero, then for every i between 0 and p…