2 citations · 2 across the 4 of their papers we have counts for
5 papers
Filiform Lie algebras with low derived length
F. J. Castro-Jiménez, M. Ceballos, J. Núñez
We construct, for any integer n greater than or equal to 5, a family of complex filiform Lie algebras with derived length at most 3 and dimension n. We also give examples of n-dime…
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…
Computing localizations iteratively
Francisco-Jesús Castro-Jiménez, Anton Leykin
Let $R=\bC[\bfx]$ be a polynomial ring with complex coefficients and $\Dx = \bC<bfx,\bfp>$ be the Weyl algebra. Describing the localization for nonzero a…
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.
On some -modules in dimension 2
F. J. Castro-Jiménez, J. M. Ucha-Enriquez
We prove a duality formula for two -modules arising from logarithmic derivations w.r.t. a plane curve. As an application we give a differential proof of a logarithmic com…