25 citations · 48 across the 4 of their papers we have counts for
5 papers
On the parametric behavior of A-hypergeometric series
Christine Berkesch Zamaere, Jens Forsgård, Laura Felicia Matusevich
We describe the parametric behavior of the series solutions of an A-hypergeometric system. More precisely, we construct explicit stratifications of the parameter space such that, o…
Hypergeometric Functions for Projective Toric Curves
Christine Berkesch Zamaere, Jens Forsgård, Laura Felicia Matusevich
We produce a decomposition of the parameter space of the -hypergeometric system associated to a projective monomial curve as a union of an arrangement of lines and its complemen…
Singularities and holonomicity of binomial D-modules
Christine Berkesch Zamaere, Laura Felicia Matusevich, Uli Walther
We study binomial D-modules, which generalize A-hypergeometric systems. We determine explicitly their singular loci and provide three characterizations of their holonomicity. The f…
Jack polynomials as fractional quantum Hall states and the Betti numbers of the (k+1)-equals ideal
Christine Berkesch Zamaere, Stephen Griffeth, Steven V Sam
We show that for Jack parameter α= -(k+1)/(r-1), certain Jack polynomials studied by Feigin-Jimbo-Miwa-Mukhin vanish to order r when k+1 of the coordinates coincide. This result wa…
Tensor complexes: Multilinear free resolutions constructed from higher tensors
Christine Berkesch Zamaere, Daniel Erman, Manoj Kummini +1
The most fundamental complexes of free modules over a commutative ring are the Koszul complex, which is constructed from a vector (i.e., a 1-tensor), and the Eagon-Northcott and th…