4 citations · 5 across the 4 of their papers we have counts for
5 papers
A sharp bound for hypergeometric rank in dimension three
Christine Berkesch, María-Cruz Fernández-Fernández
We provide a sharp upper bound on the quotient of the rank of an A-hypergeometric system with a three-dimensional torus action by the normalized volume of A; in this case, the uppe…
Irregular Modified -Hypergeometric Systems
Francisco-Jesus Castro-Jimenez, Maria-Cruz Fernandez-Fernandez, Tatsuya Koike +1
A modified -hypergeometric system is a system of differential equations for the function where is a solution of an -hypergeometric system in varia…
On Irregular Binomial -modules
María-Cruz Fernández-Fernández, Francisco-Jesús Castro-Jiménez
We prove that a holonomic binomial --module is regular if and only if certain associated primes of determined by the parameter vector $β\in \CC^d$ are homogeneou…
Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
M. C. Fernandez-Fernandez, F. J. Castro-Jimenez
We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine monomial curve. We also describe the irregu…
Gevrey solutions of irregular hypergeometric systems in two variables
M. C. Fernandez-Fernandez, F. J. Castro-Jimenez
We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine plane monomial curve. We also describe the…