3 citations · 8 across the 7 of their papers we have counts for
8 papers
Gevrey and formal Nilsson solutions of -hypergeometric systems
María-Cruz Fernández-Fernández
We prove that the space of Gevrey solutions of an --hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some a…
On the rank of an -hypergeometric -module versus the normalized volume of
Christine Berkesch, María-Cruz Fernández-Fernández
The rank of an -hypergeometric -module , associated with a full rank -matrix and a vector of parameters , is known to be the norma…
Gevrey expansions of hypergeometric integrals II
Francisco-Jesús Castro-Jiménez, María-Cruz Fernández-Fernández, Michel Granger
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series s…
Characteristic cycles and Gevrey series solutions of -hypergeometric systems
Christine Berkesch, María-Cruz Fernández-Fernández
We compute the -characteristic cycle of an -hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about…
On the local monodromy of A-hypergeometric functions and some monodromy invariant subspaces
María-Cruz Fernández-Fernández
We obtain an explicit formula for the characteristic polynomial of the local monodromy of -hypergeometric functions with respect to small loops around a coordinate hyperplane $x…
Exponential growth of rank jumps for A-hypergeometric systems
María-Cruz Fernández-Fernández
The dimension of the space of holomorphic solutions at nonsingular points (also called the holonomic rank) of a --hypergeometric system is known to be bounded above by…
Irregular hypergeometric D-modules
María-Cruz Fernández-Fernández
We study the irregularity of hypergeometric D-modules via the explicit construction of Gevrey series solutions along coordinate subspaces in .…
Gevrey solutions for irregular hypergeometric systems I
M. C. Fernández-Fernández, F. J. Castro-Jiménez
We describe the Gevrey solutions at singular points of irregular hypergeometric systems (GKZ systems) associated with affine monomial curves.