Frobenius' theorem for differential forms on analytic spaces

Hans-Jörg Reiffen

Displaying similar documents to “Frobenius' theorem for differential forms on analytic spaces”

Isorings and related isostructures

Raúl M. Falcón, Juan Núñez Valdés (2005)

Bollettino dell'Unione Matematica Italiana

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The main goal of this paper is to give a mathematical foundation, serious and consistent, to some parts of Santillis isotheory. We study the isotopic liftings of rings, subrings and ideals, and we also introduce the concept of quotient isoring. By using the isoproduct model, necessary conditions assuring the existence of such isostructures are given. Such conditions are based on the inner laws which originate the associated elements of isotopy. These elements will allow to extend, from...

Local analytic rings

Jorge C. Zilber (1990)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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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...