A model-theoretic transfer theorem for henselian valued fields.
A monogenic Hasse-Arf theorem
I extend the Hasse–Arf theorem from residually separable extensions of complete discrete valuation rings to monogenic extensions.
A Remark on Two-Dimensional Local Rings with the Property of Approximation.
Abelian extensions of an absolutely unramified local field with general residue field.
Algebraic tubular neighbourhoods I.
Anneaux henséliens et approximations
Anneaux henséliens et conditions de chaînes. III
Arithmetic on two dimensional local rings.
Artin Approximation and Formal Fibres of Local Rings.
Bewertungen mit reeller Henselisierung.
Critères de platitude et de projectivité Techniques de "platification" d'un module.
Der Cohensche Eliminationssatz in positiver Charakteristik
Die strenge Approximationseigenschaft lokaler Ringe.
Division dans l'anneau des séries formelles à croissance contrôlée. Applications
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove a Weierstrass-Hironaka division theorem for such subrings. Moreover, given an ideal ℐ of A and a series f in A we prove the existence in A of a unique remainder r modulo ℐ. As a consequence, we get a new proof of the noetherianity of A.
Einige Bemerkungen zur Struktur lokaler Henselscher Ringe
Etale cohomology of henselian rings and cohomology of abstract Riemann surfaces of fields.
Fields with Hanselian Valuation Rings.
Finite Separable Field Extensions With Prescribed Extensions of Valuations. II
Groupes henséliens
Higher ramification in Hensel fields.