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Solutions d’équations à coefficients dans un anneau hensélien. (French) Zbl 0327.14001


MSC:

14A15 Schemes and morphisms
14A05 Relevant commutative algebra
13J15 Henselian rings

References:

[1] M. ARTIN , Algebraic approximation of structures over complete local rings , Publication I. H. E. S., n^\circ 36. Numdam | Zbl 0181.48802 · Zbl 0181.48802 · doi:10.1007/BF02684596
[2] M. ARTIN , Algebrisation of formal moduli I (Ann. of Math., vol. 91, 1970 , p. 88-135). MR 41 #5370 | Zbl 0177.49003 · Zbl 0177.49003 · doi:10.2307/1970602
[3] J. BOUTOT , Groupe de Picard local d’un anneau hensélien (C. R. Acad. Sc. Paris, t. 272, série A, 1971 , p. 1248-1250). MR 44 #217 | Zbl 0222.13022 · Zbl 0222.13022
[4] FERRAND et RAYNAUD , Fibres formelles d’un anneau local noethérien (Ann. scient. Éc. Norm. Sup., 4e série, t. 3, 1970 , p. 295-312). Numdam | MR 42 #7660 | Zbl 0204.36601 · Zbl 0204.36601
[5] H. HIRONAKA , Formal line bundles along exceptional loci (Algebraic Geometry, Bombay colloquium, 1968 , p. 201-218). MR 41 #6859 | Zbl 0205.24802 · Zbl 0205.24802
[6] L. ILLUSIE , Complexe cotangent I (Springer Lecture Notes, n^\circ 239). MR 58 #10886a | Zbl 0224.13014 · Zbl 0224.13014 · doi:10.1007/BFb0059052
[7] M. RAYNAUD , Anneaux locaux henséliens (Springer Lecture Notes, n^\circ 189). Zbl 0203.05102 · Zbl 0203.05102
[8] D. S. RIM , S. G. A. VII, Exp. VI. Publication I. H. E. S., vol. 340.
[9] M. SCHLESSINGER , Functor of Artin Rings (Trans. Amer. Math. Soc., vol. 130, 1968 , p. 208-222). MR 36 #184 | Zbl 0167.49503 · Zbl 0167.49503 · doi:10.2307/1994967
[10] J.-C. TOUGERON , Idéaux de fonctions différentiables (Thèse, Rennes, 1967 ). · Zbl 0188.45102
[11] MONSKY et WASHNITZER , Formal Cohomology I (Annals of Math., vol. 88, 1968 , p. 181-217). MR 40 #1395 | Zbl 0162.52504 · Zbl 0162.52504 · doi:10.2307/1970571
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