-integral near-rings.
Halbordnungen und maximale Teilkörper in gelochten algebraisch-abgeschlossenen Körpern.
Hamburger-Noether Expansions and Approximate Roots of Polynomials.
Hardy fields and existence of transexponential functions.
Hardy fields in several variables
In questo lavoro si estende il concetto di campo di Hardy [Bou], al contesto dei germi di funzioni in più variabili che sono definite su insiemi semi-algebrici [Br.], [D.] e che risultano essere morfismi di categorie lisce [Pal.]. In tale contesto si dimostra che per ogni campo di Hardy di germi di una fissata categoria liscia , la sua chiusura algebrica relativa nell'anello , di tutti i germi nella stessa categoria liscia, è un campo di Hardy reale chiuso, che è l'unica chiusura reale del campo...
Heckesche Systeme idealer Zahlen und Knesersche Körpererweiterungen
Einleitung. Eine klassische Konstruktion aus der algebraischen Zahlentheorie ist folgende: Zu jedem algebraischen Zahlkörper K kann man ein sogenanntes System idealer Zahlen S zuordnen, welches eine Untergruppe der multiplikativen Gruppe ℂ* der komplexen Zahlen ist derart, daß die Faktorgruppe S/K* in kanonischer Weise isomorph zu der Klassengruppe von K ist. Diese Konstruktion geht auf Hecke [5] zurück und hat folgende wichtige Eigenschaft, die auch bei dem Hilbertschen Klassenkörper zu K vorkommt:...
Henselian Discrete Valued Fields Admitting One-Dimensional Local Class Field Theory
2000 Mathematics Subject Classification: 11S31 12E15 12F10 12J20.This paper gives a characterization of Henselian discrete valued fields whose finite abelian extensions are uniquely determined by their norm groups and related essentially in the same way as in the classical local class field theory. It determines the structure of the Brauer groups and character groups of Henselian discrete valued strictly primary quasilocal (or PQL-) fields, and thereby, describes the forms of the local reciprocity...
Herglotz, G., Über die Wurzelanzahl algebraischer Gleichungen innerhalb und auf dem Einheitskreis
Higher degree Harrison equivalence and Milnor -functor
Higher fields of norms and -modules.
Higher Level Reduced Witt Rings of Skew Fields.
Higher order Euler-like methods.
Higher ramification in Hensel fields.
Higher Torsion in SG and BSG.
Hilbert sets and zeta functions over finite fields.
Hilbert Subsets and s-Integral Points.
Hilbert's 17-th problem for sums of 2n-th powers.
Histoire de la loi de réciprocité quadratique : Gauss et Tate
Histoire du 13e problème de Hilbert
Hodge-Tate and de Rham representations in the imperfect residue field case
Let be a -adic local field with residue field such that and be a -adic representation of . Then, by using the theory of -adic differential modules, we show that is a Hodge-Tate (resp. de Rham) representation of if and only if is a Hodge-Tate (resp. de Rham) representation of where is a certain -adic local field with residue field the smallest perfect field containing .