5 citations · 10 across the 16 of their papers we have counts for
17 papers · 1 filter
Relative subanalytic sheaves II
Teresa Monteiro Fernandes, Luca Prelli
We give a new construction of sheaves on a relative site associated to a product where plays the role of a parameter space, expanding the previous construction by t…
De Rham theorem for Whitney functions
Luca Prelli
Let M be a real analytic manifold, F a bounded complex of constructible sheaves. We show that the Whitney-de Rham complex associated to F is quasi-isomorphic to F.
Generalization of multi-specializations and multi-asymptotics
Naofumi Honda, Luca Prelli
The aim of this paper is to give a new description of the geometry appearing in the multi-specialization along a general family of submanifolds of a real analytic manifold (includi…
Multi-microlocalization and microsupport
Naofumi Honda, Luca Prelli, Susumu Yamazaki
The purpose of this paper is to establish the foundations of multi-microlocalization, in particular, to give the fiber formula for the multi-microlocalization functor and estimate…
The six Grothendieck operations on o-minimal sheaves
Mario J. Edmundo, Luca Prelli
In this paper we develop the formalism of the Grothendieck six operations on o-minimal sheaves. The Grothendieck formalism allows us to obtain o-minimal versions of: (i) derived pr…
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…