23 citations · 69 across the 9 of their papers we have counts for
9 papers
Homogenising differential operators
F. J. Castro-Jimenez, L. Narvaez-Macarro
We consider the Weyl algebra A (=A_n(k)) and its Rees algebra B with respect to the Bernstein filtration. The homogenisation of a differential operator in A is an element in B. In…
Hasse--Schmidt derivations, divided powers and differential smoothness
Luis Narvaez-Macarro
Let be a commutative ring, a commutative -algebra and the filtered ring of -linear differential operators of . We prove that: (1) The graded ring $\gr D$ admit…
Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
Luis Narvaez-Macarro
In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to fr…
Algebraic computation of some intersection D-modules
F. J. Calderon-Moreno, L. Narvaez-Macarro
Let be a complex analytic manifold, a locally quasi-homogeneous free divisor, an integrable logarithmic connection with respect to and the local system…
On the logarithmic comparison theorem for integrable logarithmic connections
F. J. Calderon-Moreno, L. Narvaez-Macarro
Let be a complex analytic manifold, a free divisor with jacobian ideal of linear type (e.g. a locally quasi-homogeneous free divisor), the corresp…
Coefficient fields and scalar extension in positive characteristic
M. Fernandez-Lebron, L. Narvaez-Macarro
Let k be a perfect field of positive characteristic, k(t)_{per} the perfect closure of k(t) and A=k[[X_1,...,X_n]]. We show that for any maximal ideal N of A'=k(t)_{per}\otimes_k A…