3 citations · 8 across the 7 of their papers we have counts for
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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…