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Algebraic approximation of structures over complete local rings. (English) Zbl 0181.48802

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[1] M. Artin, On algebraic extensions of local rings,Rend. di Mat., 25 (1966), 33–37. · Zbl 0147.29304
[2] —-, Etale coverings of schemes over hensel rings,Amer. J. Math., 88 (1966), 915–934. · Zbl 0148.41602
[3] –, The implicit function theorem in algebraic geometry (to appear). · Zbl 0217.04901
[4] —-, On the solutions of analytic equations,Inventiones Math., 5 (1968), 277–291. · Zbl 0172.05301
[5] –, Algebraization of formal moduli, I, II (to appear).
[6] –,A. Grothendieck andJ.-L. Verdier, Séminaire de géométrie algébrique 1963–1964, Cohomologie étale des schémas,Inst. Hautes Études Sci. (mimeographed notes).
[7] B. J. Birch andK. McCann, A criterion for thep-adic solubility of diophantine equations,Quarterly J. Math., 18 (1967), 59–63. · Zbl 0269.10010
[8] N. Bourbaki,Éléments de Mathématique, Algèbre commutative, chap. III, Paris, Hermann, 1961. · Zbl 0119.03603
[9] M. Greenberg, Schemata over local rings,Ann. of Math., 73 (1961), 624–648. · Zbl 0115.39004
[10] –, Rational points in henselian discrete valuation rings,Publ. Math. Inst. Hautes Études Sci., no 23, 1964.
[11] N. Greenleaf, Irreducible subvarieties and rational points,Amer. J. Math., 87 (1965), 25–31. · Zbl 0136.16201
[12] A. Grothendieck, Le groupe de Brauer, III,Inst. Hautes Études Sci. (mimeographed notes).
[13] G. Hermann, Die Frage der endlich vielen Schritte in der Theorie der Polynomideale,Math. Annalen, 95 (1926), 736–788. · JFM 52.0127.01
[14] H. Hironaka, On the equivalence of singularities: I,Arithmetical algebraic geometry Proceedings, New York, Harper and Row, 1965. · Zbl 0147.20502
[15] –, Formal line bundles along exceptional loci (to appear). · Zbl 0205.24802
[16] M. Nagata,Local rings, New York, Interscience, 1962. · Zbl 0123.03402
[17] A. Nerode, A decision method forp-adic integral zeros of diophantine equations,Bull. Amer. Math. Soc., 69 (1963), 513–517. · Zbl 0112.27304
[18] A. Néron, Modèles minimaux des variétés abéliennes sur les corps locaux et globaux,Pub. Math. Inst. Hautes Études Sci., no 21, 1964.
[19] P. Samuel, Algébricité de certains points singuliers algébroïdes,J. Math. Pures Appl., 35 (1956), 1–6.
[20] G. Stolzenberg (to appear).
[21] J. C. Tougeron,Idéaux de fonctions différentiables (Thèse), Rennes, 1967.
[22] O. Zariski andP. Samuel,Commutative algebra, vol. II, Princeton, Van Nostrand, 1960. · Zbl 0121.27801
[23] O. Zariski, Equisingular points on algebraic varieties,Seminari dell’Istituto Nazionale di Alta Matematica 1962–1963, Rome, Ed. Cremonese, 1964. EGA,J. Dieudonné andA. Grothendieck, Éléments de géométrie algébrique,Publ. Math. Inst. Hautes Études Sci., 1960–68. SGA,A. Grothendieck, Séminaire de géométrie algébrique, 1960–1961,Inst. Hautes Études Sci. (mimcographed notes). FGA, –,Fondements de la géométrie algébrique, Extraits du Séminaire Bourbaki, 1957–1962 (mimeographed notes).
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