7 citations · 17 across the 12 of their papers we have counts for
14 papers · 1 filter
On the solutions of relative regular holonomic D-modules
Teresa Monteiro Fernandes
Let be a complex curve and let be a complex manifold. Given a relative regular holonomic $\DXS$-module $\shm$ with respect to the projection , we construct…
Regularization of relative holonomic D-modules
Teresa Monteiro Fernandes
Let and be complex analytic manifolds where plays the role of a parameter space. Using the sheaf $\DXS^{\infty}$ of relative differential operators of infinite order, w…
The relative hermitian duality functor
Teresa Monteiro Fernandes, Claude Sabbah
We extend to the category of relative regular holonomic modules on a manifold , parametrized by a curve , the Hermitian duality functor (or conjugation functor) of Kashiwara.…
Relative strongly regular holonomic -modules and the Riemann-Hilbert correspondence
Luisa Fiorot, Teresa Monteiro Fernandes
We introduce the notion of strong regular holonomic -module and we prove that the functor introduced by T. Monteiro Fernandes and C…
Relative Riemann-Hilbert correspondence in dimension one
Teresa Monteiro Fernandes, Claude Sabbah
We prove that, on a Riemann surface, the functor constructed in a previous work as a right quasi-inverse of the solution functor from the bounded derived category o…
-Structures for Relative -Modules and -Exactness of the de Rham Functor
Luisa Fiorot, Teresa Monteiro Fernandes
This paper is a contribution to the study of relative holonomic -modules. Contrary to the absolute case, the standard -structure on holonomic -modules…
Relative subanalytic sheaves
Teresa Monteiro Fernandes, Luca Prelli
Given a projection of a product of real analytic manifolds onto one factor, let us say, , and a subanalytic sheaf on the associated subanalytic site, we give a…
On the de Rham complex of mixed twistor D-modules
Teresa Monteiro Fernandes, Claude Sabbah
Given a complex manifold S, we introduce for each complex manifold X a t-structure on the bounded derived category of C-constructible complexes of O_S-modules on X x S. We prove th…
Grauert's theorem for subanalytic open sets in real analytic manifolds
Daniel Barlet, Teresa Monteiro Fernandes
By open neighbourhood of an open subset of we mean an open subset of such that A well known result of H. Grauert impl…
Formal extension of the Whitney functor and duality
Ana Rita Martins, Teresa Monteiro Fernandes
We introduce the formal extension of the Whitney functor and the polynomial extension of the tempered cohomology functor, and prove a natural topological duality between them.
Microsupport of tempered solutions of D-Modules associated to smooth morphisms
Teresa Monteiro Fernandes
Let be a smooth morphism of complex analytic manifolds and let be an -constructible complex on . Let be a coherent $\shd_X$-module. We prove…
Truncated microsupport and hyperbolic inequalities
Ana Rita Martins, Teresa Monteiro Fernandes
We prove that the k-truncated microsupport of the specialization of a complex of sheaves along a submanifold is contained in the normal cone to the conormal bundle along the k-…
Involutivity of truncated microsupports
Masaki Kashiwara, Teresa Monteiro Fernandes, Pierre Schapira
Using a result of J-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf on a real manifold and an integer , if two functions va…
Truncated microsupport and holomorphic solutions of D-modules
Masaki Kashiwara, Teresa Monteiro Fernandes, Pierre Schapira
We study the truncated microsupport of sheaves on a real manifold. Applying our results to the case of , the complex of holomorphic solutions of a coherent $D…