L'équivalence rationnelle sur les tores.
Les algèbres de Krasner-Tate
Les algèbres de Krasner-Tate
Les conjectures de monodromie -adiques
Les corps différentiellement clos dénombrables
Les dérivées sur un corps valué non archimédien
Les semi-normes sur les algèbres d'éléments analytiques au sens de Krasner.
Les semi-normes sur les algèbres d'éléments analytiques au sens de Krasner
Level and Pythagoras Number of Some Geometric Rings.
Level and Pythagoras number of some geometric rings (Erratum).
Levelled O-minimal structures.
We introduce the notion of leveled structure and show that every structure elementarily equivalent to the real expo field expanded by all restricted analytic functions is leveled.
Lifting -modules from positive to zero characteristic
We study liftings or deformations of -modules ( is the ring of differential operators from EGA IV) from positive characteristic to characteristic zero using ideas of Matzat and Berthelot’s theory of arithmetic -modules. We pay special attention to the growth of the differential Galois group of the liftings. We also apply formal deformation theory (following Schlessinger and Mazur) to analyze the space of all liftings of a given -module in positive characteristic. At the end we compare the problems...
Limites uniformes de polynômes dans un corps valué complet non archimédien
Linear dependence of zeros of polynomials and construction of primitve elements.
Linear derivations with rings of constants generated by linear forms
Let k be a field. We describe all linear derivations d of the polynomial algebra k[x₁,...,xₘ] such that the algebra of constants with respect to d is generated by linear forms: (a) over k in the case of char k = 0, (b) over in the case of char k = p > 0.
Linear differential equations and Hurwitz series
In this article, we study solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equations and study the group of differential automorphisms of the solutions. Moreover, we give explicit formulas that compute the group of differential automorphisms. We require neither that the underlying field be algebraically closed nor that the characteristic of the field be zero.
Linear independence in linear rings with abstract differentiation
Linear operators in local fields of prime characteristic.
Linear quadratic control. State space vs. polynomial equations
Linear relations between roots of polynomials