Perturbative computation of analytic invariants of resonant diffeomorphisms of
Ezio Todesco, Julio Cesar Canille Martins (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “A -adic approach to local analytic dynamics: analytic conjugacy of analytic maps tangent to the identity”
Perturbative computation of analytic invariants of resonant diffeomorphisms of
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Relations among analytic functions. II
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This is a sequel to “Relations among analytic functions I”, , , fasc. 1, [pp. 187-239]. We reduce to semicontinuity of local invariants the problem of finding solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases : in the algebraic category, for “regular” mappings, and for module homomorphisms over a finite mapping.
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Relations among analytic functions. I
Edward Bierstone, P. D. Milman (1987)
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Neither real analytic sets nor the images of real or complex analytic mappings are, in general, coherent. Let be a morphism of real analytic spaces, and let be a homomorphism of coherent modules over the induced ring homomorphism . We conjecture that, despite the failure of coherence, certain natural discrete invariants of the modules of formal relations , , are upper semi-continuous in the analytic Zariski topology of . We prove semicontinuity in many cases (e.g. in the algebraic...