Axiomatisations simples des theories des corps de rolle.
-représentations dans le cas relatif
Dans ce travail nous développons un analogue relatif de la théorie de Sen pour les -représentations. On donne des applications à la théorie des représentations -adiques, en la reliant à la théorie des -modules relatifs, et à celle des modules de Higgs -adiques développée par G. Faltings.
Base change for Picard-Vessiot closures
The differential automorphism group, over F, Π₁(F₁) of the Picard-Vessiot closure F₁ of a differential field F is a proalgebraic group over the field of constants of F, which is assumed to be algebraically closed of characteristic zero, and its category of modules is equivalent to the category of differential modules over F. We show how this group and the category equivalence behave under a differential extension E ⊃ F, where is also algebraically closed.
Behavior of the trinomial arcs when .
Belyi's theorem revisited.
Bemerkung zur Auflösung der kubischen Gleichungen
Bemerkungen über elementare Funktionen in nichtarchimedischen Banachalgebren.
Bemerkungen zur Theorie der formal p-adischen Körper
Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper.
Bericht über Fastkörper.
Berichtigung eines Satzes von Abel, die Darstellung der algebraischen Functionen betreffend. Von Königsberger in Greifswald
Berichtigung zu den Arbeiten "Einbettungsprobleme und Galoisstruktur lokaler Körper" und "Abelsche p-Erweiterungen p-adischer Zahlkörper, über denen jedes Einbettungsproblem lösbar ist".
Berichtigung zu der Arbeit: On Algebraic Curves over Real Closed Fields. Math. Z. 150, 49-70 (1976).
Bernstein classes
One of the classical Bernstein inequalities compares the maxima of a polynomial of a given degree on the interval [-1,1] and on the ellipse in the complex plane with the focuses -1, 1 and the semiaxes . We prove a similar inequality for a branch of an algebraic function of a given degree on the maximal disk of its regularity, with the explicitly given constant, depending on the degree only. In particular, this improves a recent inequality of Fefferman and Narasimhan and answers one of their questions....
Beweis der Unmöglichkeit, algebraische Gleichungen von höheren Graden als dem vierten allgemein aufzulösen.
Bewertete Vektorräume.
Bewertungen mit reeller Henselisierung.
Biquaternion algebras and quartic extensions
Block systems of a Galois group.
Border bases and kernels of homomorphisms and of derivations
Border bases are an alternative to Gröbner bases. The former have several more desirable properties. In this paper some constructions and operations on border bases are presented. Namely; the case of a restriction of an ideal to a polynomial ring (in a smaller number of variables), the case of the intersection of two ideals, and the case of the kernel of a homomorphism of polynomial rings. These constructions are applied to the ideal of relations and to factorizable derivations.