Ck and Analytic Equivalence of Complex Analytic Varieties.
A Counterexample to Artin Approximation With Respect to Subrings.
On the Nonflatness of Analytic Tensor Product.
A note on derivations of algebras of analytic functions.
Exposé on a conjecture of Tougeron
An algebra homomorphism of the locatized affine rings of an algebraic variety is continuous in the Krull topology of the respective local rings. It is not necessarily open or closed in the Krull topology. However, we show that the induced map on the associated analytic local rings is also open and closed in the Krull topology. To do this we prove a conjecture of Tougeron which states that if is an analytic curve on an analytic variety and is a formal power series which is convergent when restricted...
Solving power series equations. II. Change of ground field
We study the effect of changing the residue field, on the topological properties of local algebra homomorphisms of analytic algebras (quotients of convergent power series rings). Although injectivity is not preserved, openness and closedness in the Krull topology, simple topology, and inductive topology is preserved.
Errata to the paper "Remarks of the elementary theories of formal and convergent power series" Fundamenta Mathematicae 105 (1980), pp. 229-239
Remarks on the elementary theories of formal and convergent power series
Applications of Functional Analysis to the Solution of Power Series Equations.
Ultraproducts and Approximation in Local Rings I.
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