T. M. Fernandes

activity

20002026

most citedOn the de Rham complex of mixed twistor D-modules

7 citations · 17 across the 12 of their papers we have counts for

collaborators

15 papers

math.AG2026

On the solutions of relative regular holonomic D-modules

Teresa Monteiro Fernandes

Let $S$ be a complex curve and let $X$ be a complex manifold. Given a relative regular holonomic $\DXS$-module $\shm$ with respect to the projection $X \times S \to S$ , we construct…

math.AG2022

Regularization of relative holonomic D-modules

Teresa Monteiro Fernandes

Let $X$ and $S$ be complex analytic manifolds where $S$ plays the role of a parameter space. Using the sheaf $\DXS^{\infty}$ of relative differential operators of infinite order, w…

math.AG2020

The relative hermitian duality functor

Teresa Monteiro Fernandes, Claude Sabbah

We extend to the category of relative regular holonomic modules on a manifold $X$ , parametrized by a curve $S$ , the Hermitian duality functor (or conjugation functor) of Kashiwara.…

math.AG2018

Relative strongly regular holonomic $D$ -modules and the Riemann-Hilbert correspondence

Luisa Fiorot, Teresa Monteiro Fernandes

We introduce the notion of strong regular holonomic $D_{X \times S / S}$ -module and we prove that the functor $RH^{S}$ introduced by T. Monteiro Fernandes and C…

math.AG2017★ 4 cited

Relative Riemann-Hilbert correspondence in dimension one

Teresa Monteiro Fernandes, Claude Sabbah

We prove that, on a Riemann surface, the functor $RH^{S}$ constructed in a previous work as a right quasi-inverse of the solution functor from the bounded derived category o…

math.AG2017

$t$ -Structures for Relative $D$ -Modules and $t$ -Exactness of the de Rham Functor