Exposé on a conjecture of Tougeron

Joseph Becker

Displaying similar documents to “Exposé on a conjecture of Tougeron”

Points of order $p$ of generic formal groups

Karl Zimmermann (1988)

Annales de l'institut Fourier

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There are many similarities between elliptic curves and formal groups of finite height. The points of order $p$ of a generic formal group are studied in order to develop the formal group analogue (applied to points of order $p$ ) of the concept of level structure and that of the $e_{n}$ -pairing known in elliptic curve theory.

Solving power series equations. II. Change of ground field

Joseph Becker (1979)

Annales de l'institut Fourier

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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.

Relations among analytic functions. I

Edward Bierstone, P. D. Milman (1987)

Annales de l'institut Fourier

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Neither real analytic sets nor the images of real or complex analytic mappings are, in general, coherent. Let $Φ : X \to Y$ be a morphism of real analytic spaces, and let $Ψ : 𝒢 \to ℱ$ be a homomorphism of coherent modules over the induced ring homomorphism $Φ^{*} : 𝒪_{Y} \to 𝒪_{X}$ . We conjecture that, despite the failure of coherence, certain natural discrete invariants of the modules of formal relations $ℛ_{a} = Ker {\hat{Ψ}}_{a}$ , $a \in X$ , are upper semi-continuous in the analytic Zariski topology of $X$ . We prove semicontinuity in many cases (e.g. in the algebraic...

On the structure of non-excellent curve singularities in characteristic $p$

Bruce Bennett (1973)

Publications Mathématiques de l'IHÉS

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On rings close to regular and $p$ -injectivity

Roger Yue Chi Ming (2006)

Commentationes Mathematicae Universitatis Carolinae

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The following results are proved for a ring $A$ : (1) If $A$ is a fully right idempotent ring having a classical left quotient ring $Q$ which is right quasi-duo, then $Q$ is a strongly regular ring; (2) $A$ has a classical left quotient ring $Q$ which is a finite direct sum of division rings iff $A$ is a left $TC$ -ring having a reduced maximal right ideal and satisfying the maximum condition on left annihilators; (3) Let $A$ have the following properties: (a) each maximal left ideal of $A$ is either a two-sided...

Displaying similar documents to “Exposé on a conjecture of Tougeron”

Points of order p of generic formal groups

Solving power series equations. II. Change of ground field

Relations among analytic functions. I

On the structure of non-excellent curve singularities in characteristic p

On rings close to regular and p -injectivity

Points of order $p$ of generic formal groups

On the structure of non-excellent curve singularities in characteristic $p$

On rings close to regular and $p$ -injectivity