5 papers
Algebraic connections vs. Algebraic -modules: regularity conditions
Maurizio Cailotto, Luisa Fiorot
This paper is devoted to the comparison of the notions of regularity for algebraic connections and (holonomic) regularity for algebraic -modules.
Classification of compact real surfaces: a quick proof
Maurizio Cailotto
The aim of this note is to give a quick algebraic proof of (the combinatorial part of) the classification theorem for compact real surfaces, whose classical proofs (as in the Masse…
Algebraic Connections vs. Algebraic {$\cD$}-modules: inverse and direct images
Maurizio Cailotto, Luisa Fiorot
In the dictionary between the language of (algebraic integrable) connections and that of (algebraic) $\cD$-modules, to compare the definitions of inverse images for connections and…
-adic formulas and unit root -subcrystals of the hypergeometric system
Francesco Baldassarri, Maurizio Cailotto
We define the notion of {\it Dwork family of logarithmic -crystals}, a typical example of which is the family of Gauss hypergeometricdifferential systems, viewed as parametrized…
Deligne Localized Functors
Maurizio Cailotto
In this paper we present the notion of ``Deligne localized functors'', an avatar of the derived functors, whose definition is inspired by Deligne in [SGA 4,XVII]. Their definition…