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math.AC2005
Algebraic shifting and exterior and symmetric algebra methods
Uwe Nagel, Tim Roemer, Natale Paolo Vinai
We establish results about algebraic shifting of simplicial complexes and use them to compare different shifting operations. In particular, we show that each shifting operation doe…
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…