2 citations · 3 across the 3 of their papers we have counts for
6 papers
On the number of subrepresentations of a general quiver representation
Harm Derksen, Aidan Schofield, Jerzy Weyman
It is well-known that the intersection multiplicities of Schubert classes in the Grassmanian are Littlewood-Richardson coefficients. We generalize this statement in the context of…
Error correcting codes and B_h-sequences
Harm Derksen
We construct error correcting nonlinear binary codes using a construction of Bose and Chowla in additive number theory. Our method extends a construction of Graham and Sloane for c…
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…
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…
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…
Subvarieties of C^n with non-extendible Automorphisms
Harm Derksen, Frank Kutzschebauch, Joerg Winkelmann
We investigate algebraic and analytic subvarieties of C^n with automorphisms which can not be extended to the ambient space.