A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.
A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.
The aim of this paper is to generalize this theorem to a certain type of system of first order linear partial differential equations with analytic (or better: formal) coefficients. To be more precise, a completely integrable Pfaffian system with a special type of singularities a…
For a Lie algebra sheaf L of derivations of a sheaf of rings O on a space X global cohomology groups and local cohomology sheaves are introduced and analyzed. Global and local splitting obstructions for extensions of modules over a Lie algebra sheaf are studied. In the applicati…
The work is devoted to the study of some geometric invariants which can be associated to a partial differential operator. Recently L. Hörmander introduced the notion of a subprincipal symbol for a pseudodifferential operator. The subprincipal symbol is an invariant for every pse…
