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
Similarity:
Ezio Todesco, Julio Cesar Canille Martins (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Raf Cluckers, Leonard Lipshitz, Zachary Robinson (2006)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Masahiro Shiota (1981)
Publications Mathématiques de l'IHÉS
Similarity:
Edward Bierstone, P. D. Milman (1987)
Annales de l'institut Fourier
Similarity:
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.
J. Siciak (1970)
Studia Mathematica
Similarity:
Edward Bierstone, P. D. Milman (1987)
Annales de l'institut Fourier
Similarity:
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...