68 citations · 258 across the 40 of their papers we have counts for
47 papers
The arithmetic rank of determinantal nullcones
Jack Jeffries, Vaibhav Pandey, Anurag K. Singh +1
We compute the arithmetic rank as well as the local/étale cohomological dimension of nullcone ideals arising from the classical actions of the symplectic group, the general linear…
Hypergeometric systems from groups with torsion
Thomas Reichelt, Christian Sevenheck, Uli Walther
We consider -hypergeometric (or GKZ-)systems in the case where the grading (character) group is an arbitrary finitely generated Abelian group. Emulating the approach taken for c…
On the natural nullcones of the symplectic and general linear groups
Vaibhav Pandey, Yevgeniya Tarasova, Uli Walther
Consider a group acting on a polynomial ring S over a field K by degree-preserving K-algebra automorphisms. Several key properties of the invariant ring can be deduced by studying…
Tautological systems, homogeneous spaces and the holonomic rank problem
Paul Görlach, Thomas Reichelt, Christian Sevenheck +2
Many hypergeometric differential systems that arise from a geometric setting can be endowed with the structure of mixed Hodge modules. We generalize this fundamental result to the…
On Feynman graphs, matroids, and GKZ-systems
Uli Walther
We show in several important cases that the -hypergeometric system attached to a Feynman diagram in Lee--Pomeransky form, obtained by viewing the momenta and the nonzero masses…
The shape of a Gaussian mixture is characterized by the probability density of the distance between two samples
Mireille Boutin, Kindyl King, Uli Walther
Let be a random variable with density taking values in . We are interested in finding a representation for the shape of , i.e. for the orbit $\…