7 citations · 7 across the 11 of their papers we have counts for
15 papers
On relative constructible sheaves and integral transforms
Luisa Fiorot, Teresa Monteiro Fernandes
The aim of this note is threefold. The first is to obtain a simple characterization of relative constructible sheaves when the parameter space is projective. The second is to study…
Modular binomials with an application to periodic sequences
Luisa Fiorot, Riccardo Gilblas, Alberto Tonolo
We study, through new recurrence relations for certain binomial coefficients modulo a power of a prime, the evolution of the primitives of a modular periodic sequence. We prove tha…
Relative Regular Riemann-Hilbert correspondence II
Luisa Fiorot, Teresa Monteiro Fernandes, Claude Sabbah
We develop the theory of relative regular holonomic D-modules with a smooth complex manifold S of arbitrary dimension as parameter space, together with their main functorial proper…
On the canonical, fpqc, and finite topologies on affine schemes. The state of the art
Yves André, Luisa Fiorot
This is a systematic study of the behaviour of finite coverings of (affine) schemes with regard to two Grothendieck topologies: the canonical topology and the fpqc topology. The hi…
Relative regular Riemann-Hilbert correspondence
Luisa Fiorot, Teresa Monteiro Fernandes, Claude Sabbah
On the product of a complex manifold by a complex curve considered as a parameter space, we show a Riemann-Hilbert correspondence between regular holonomic relative $\mathc…
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…