18 citations · 45 across the 18 of their papers we have counts for
19 papers
Arithmetic -modules over Laurent series fields: the relative case
Daniel Caro
Let be a perfect field of characteristic . Within Berthelot's theory of arithmetic -modules, we construct a -adic formalism of Grothendieck's six operation…
Arithmetic -modules over Laurent series fields: absolute case
Daniel Caro
Let be a perfect field of characteristic . Within Berthelot's theory of arithmetic -modules, we construct a -adic formalism of Grothendieck's six operation…
Arithmetic D-modules over algebraic varieties of characteristic p>0
Daniel Caro
Let be a field of characteristic not necessarily perfect. Using Berthelot's theory of arithmetic -modules, we construct a -adic formalism of Grothendieck'…
Logarithmic -bases and arithmetical differential modules
Daniel Caro, David Vauclair
We introduce the notion of log -smoothness which weakens that of log-smoothness and that of having locally -bases. We extend Berthelot's construction of arithmetic -module…
Lagrangianity for log extendable overconvergent -isocrystals
Daniel Caro
In the framework of Berthelot's theory of arithmetic -modules, we prove that Berthelot's characteristic variety associated with a holonomic -modules endow…
Betti number estimates in p-adic cohomology
Daniel Caro
Within the framework of Berthelot's theory of arithmetic D-modules, we prove the p-adic analogue of Betti number estimates and we give some standard applications.