Derivations satisfying polynomial identities
Differential characters and characteristic polynomial of Frobenius.
Differential characters of abelian varieties over p-adic fields.
Differential equations in characteristic
Differential Galois Theory for an Exponential Extension of
In this paper we study the formal differential Galois group of linear differential equations with coefficients in an extension of by an exponential of integral. We use results of factorization of differential operators with coefficients in such a field to give explicit generators of the Galois group. We show that we have very similar results to the case of .
Differential modules defined by systems of equations
Differential resolvents of minimal order and weight.
Differential rings in which any ideal is differential
Differentielle Eigenschaften der Lokalisierungen analytischer Algebren.
Etale covers, bimodules and differential operators.
Evolutions, symbolic squares, and Fitting ideals.
Families of functions dominated by distributions of -classes of mappings
A subsheaf of the sheaf of germs functions over an open subset of is called a sheaf of sub function. Comparing with the investigations of sheaves of ideals of , we study the finite presentability of certain sheaves of sub -rings. Especially we treat the sheaf defined by the distribution of Mather’s -classes of a mapping.
Feuilletage canonique sur le fibré de Weil
Let be M a smooth manifold, A a local algebra and a manifold of infinitely near points on M of kind A. We build the canonical foliation on and we show that the canonical foliation on the tangent bundle TM is the foliation defined by its canonical field.
Frobenius modules and Galois representations
Frobenius modules are difference modules with respect to a Frobenius operator. Here we show that over non-archimedean complete differential fields Frobenius modules define differential modules with the same Picard-Vessiot ring and the same Galois group schemes up to extension by constants. Moreover, these Frobenius modules are classified by unramified Galois representations over the base field. This leads among others to the solution of the inverse differential Galois problem for -adic differential...
-homologie et -homologie dans la catégorie des -modules différentiables
Gauge-equivalent deformations of linear ordinary differential operators with constant coefficients.
Generalized Koszul complexes and Hochschild (co-)homology of complete intersections.
Generators for the Derivation modules and the relation ideals of certain curves.
Generators of rings of constants of derivations.
Géométrie des points épais