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4 papers
A flatness property for filtered D-modules
F. J. Castro-Jimenez, M. Granger
Let M be a coherent module over the ring D of linear differential operators on an analytic manifold X and let us consider k germs of transverse hypersurfaces at a point x in X. The…
A computational approach to the D-module of meromorphic functions
F. J. Castro-Jimenez, J. M. Ucha
Let be a divisor in . We present methods to compare the -module of the meromorphic functions to some natural approximations. We sho…
Slopes of a Hypergeometric System Associated to a Monomial Curve
F. J. Castro-Jimenez, N. Takayama
We compute, by D-module restrictions, the slopes of irregular hypergeometric systems associated to a monomial curve.
Free divisors and duality for D-modules
F. J. Castro-Jimenez, J. M. Ucha
The relationship between -modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. Using the ideas of these works we prove in this…