A Bertini type theorem in analytic geometry.
A Counterexample to Artin Approximation With Respect to Subrings.
A proof of Pisot's th root conjecture.
A Theorem on Solutions of Analytic Equations with Applications to Deformations of Complex Structures.
A-Endomorphismes de A(X).
Algèbres de Hadamard
Analytic and Polynominal Homomorphisms of Analytic Rings.
André-Homologie für gewisse Kategorien von Ringen mit Fasersumme.
Anneaux de Fatou
Applications of Functional Analysis to the Solution of Power Series Equations.
Artin's Theorem on the Solutions of Analytic Equations in Positive Characteristic.
Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm
2000 Mathematics Subject Classification: 17A50, 05C05.In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).
Complete local factorial rings which are not Cohen-Macaulay in characteristic
Convergence sets of divergent power series.
Das zariskische Diskriminantenkriterium und die Fortsetzung von Derivationen.
Décomposition cellulaire de variétés paramétrant des idéaux homogènes de C [[x,y]]. Incidence des cellules - II -.
Diagonales de fractions rationnelles et équations de Picard-Fuchs
Diagonalization and rationalization of algebraic Laurent series
We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is an algebraic power series of degree at most and height at most , where is an effective constant that only depends on...
Direct Limits of Power Series Rings.
Ein Beweis des Hilbertschen Basissatzes.