Modular spaces over a field with valuation generated by a (ω,ϑ)-convex modular
Modules différentiels non solubles. Rayons de convergence et indices
Modules différentiels sur les couronnes
Dans cet article, nous étudions les modules libres de type fini sur l’anneau où est l’anneau des éléments analytiques dans une couronne de . D’une part, nous définissons, pour chaque nombre de , un rayon de convergence “générique" et nous montrons que celui-ci dépend continûment de . D’autre part, nous étudions l’existence et l’unicité d’un “antécédent de Frobenius".
Monomorphisms of inductive number systems
Morales-Ramis Theorems via Malgrange pseudogroup
In this article we give an obstruction to integrability by quadratures of an ordinary differential equation on the differential Galois group of variational equations of any order along a particular solution. In Hamiltonian situation the condition on the Galois group gives Morales-Ramis-Simó theorem. The main tools used are Malgrange pseudogroup of a vector field and Artin approximation theorem.
More about the embedding of a cyclic extension into a cyclic extension.
More on polynomial Bézoutians with respect to a general basis.
Mosco convergence of sequences of homogeneous polynomials.
In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.
Motivic Artin -functions and a motivic Tamagawa number. (Fonctions d'Artin et nombre de Tamagawa motiviques.)
Motivic cohomology and unramified cohomology of quadrics
This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension and . Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground field, and that the same holds for their unramified Witt rings. We apply these results to real quadrics....
m-Reduction of ordinary differential equations
Multipliers of improper similitudes.
Multiplikative Untergruppen in abeloiden Mannigfaltigkeiten.
Multistructures determined by differential rings
Multivariable dimension polynomials and new invariants of differential field extensions.
Multivariate Sturm-Habicht sequences: real root counting on n-rectangles and triangles.
The main purpose of this note is to show how Sturm-Habicht Sequence can be generalized to the multivariate case and used to compute the number of real solutions of a polynomial system of equations with a finite number of complex solutions. Using the same techniques, some formulae counting the number of real solutions of such polynomial systems of equations inside n-dimensional rectangles or triangles in the plane are presented.