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The Newton diagram of an analytic morphism, and applications to differentiable functions
Author(s):
Edward
Bierstone;
Pierre D.
Milman
Journal:
Bull. Amer. Math. Soc.
9
(1983),
315-318.
MSC (1980):
Primary 32B20, 58C25;
Secondary 32C42
MathSciNet review:
714993
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Additional information
References:
- 1.
- M. Artin, Algebraic approximation to structures over complete local rings, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 23-58. MR 268188
- 2.
- E. Bierstone and P. D. Milman, Composite differentiable functions, Ann. of Math. (2) 116 (1982), 541-558. MR 678480
- 3.
- J. Briançon, Weierstrass préparé à la Hironaka, Astérisque 7, 8 (1973), 67-73. MR 361138
- 4.
- C. Chevalley, On the theory of local rings, Ann. of Math. (2) 44 (1943), 690-708. MR 9603
- 5.
- G. Glaeser, Fonctions composées différentiables, Ann. of Math. (2) 77 (1963), 193-209. MR 143058
- 6.
- H. Grauert and R. Remmert, Bilder and Urbilder analytischer Garben, Ann. of Math. (2) 68 (1958), 393-443. MR 102612
- 7.
- B. Malgrange, Ideals of differentiable functions, Oxford Univ. Press, Bombay, 1966. MR 212575
- 8.
- J. Merrien, Applications des faisceaux analytiques semi-cohérents aux fonctions différentiables, Ann. Inst. Fourier (Grenoble) 31 (1981), 63-82. MR 613029
- 9.
- J. Cl. Tougeron, Existence de bornes uniformes pour certaines familles d'idéaux de l'anneau des séries formelles $\underlinek[[x]]$. Applications (to appear).
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15190-X
PII:
S 0273-0979(1983)15190-X
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