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math.AC2003
Universal denominators of Hilbert series
Harm Derksen
The denominator of the Hilbert series of a finitely generated R-module M does not always divide the denominator of the Hilbert series of R. For this reason, we define the universal…
math.AC2002
Degree Bounds for Syzygies of Invariants
Harm Derksen
Suppose that G is a linearly reductive group. We study the minimal free resolution of the invariant ring. If G is a finite linearly reductive group, then the ring of invariants is…
math.AC2001
A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements
Harm Derksen, Jessica Sidman
We show that the ideal of an arrangement of d linear subspaces of projective space is d-regular in the sense of Castelnuovo and Mumford, answering a question of B. Sturmfels. In pa…