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Espaces de Moisezon rélatifs et algebrisation des modifications analytiques. (French) Zbl 0429.32035


MSC:

32J99 Compact analytic spaces
14B12 Local deformation theory, Artin approximation, etc.
14A20 Generalizations (algebraic spaces, stacks)
32J25 Transcendental methods of algebraic geometry (complex-analytic aspects)
32G05 Deformations of complex structures
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References:

[1] Ancona, V., Tomassini, G.: Théorèmes d’existence pour les modifications analytiques. Invent. Math.51, 271-286 (1979) · Zbl 0395.32012 · doi:10.1007/BF01389920
[2] Andreotti, A., Stoll, W.: Analytic and algebraic dependence of meromorphic functions. Lecture Notes in Mathematics, Vol. 234. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0222.32013
[3] Artin, M.: Algebraisation of formal moduli. I. Global analysis. Papers in honor of Kodaira, p. 21-71. Tokyo: University of Tokyo Press 1969
[4] Artin, M.: Algebraisation of formal moduli. II. Existence of modifications. Ann. Math.91, 88-135 (1970) · Zbl 0185.24701 · doi:10.2307/1970602
[5] Bingener, J.: Schemata über Steinschen Algebren. Schriftenreihe des Mathematischen Institutes der Universität Münster, 2. Serie, Heft 10 (1976) · Zbl 0348.32003
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[7] Douady, A.: Le problème des modules pour les sous-espaces analytiques compacts d’un espace analytique donné. Ann. Inst. Fourier19, 1-99 (1966) · Zbl 0146.31103
[8] Elkik, R.: Solutions d’équations à coefficients dans un anneau hensélien. Ann. École Norm. Sup. 4ème série 6, 553-604 (1973)
[9] Frisch, J.: Points de platitude d’un morphisme d’espaces analytiques complexes. Invent. Math.4, 118-138 (1967) · Zbl 0167.06803 · doi:10.1007/BF01425245
[10] Grothendieck, A., Dieudonné, J.: Eléments de géometrie algébrique. Publ. Math. I.H.E.S. No. 20 (1964)
[11] Hakim, M.: Topos annelés et schémas relatifs. Berlin, Heidelberg, New York: Springer 1972
[12] Hironaka, H.: Formal line bundles along exceptional loci. Dans: Algebraic geometry. London, Bombay, Oxford 1969 · Zbl 0205.24802
[13] Hironaka, H.: Flattening theorem in complex-analytic geometry. Am. J. Math.97, 503-547 (1975) · Zbl 0307.32011 · doi:10.2307/2373721
[14] Knutson, D.: Algebraic spaces. Lecture Notes in Mathematics, Vol. 203. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0221.14001
[15] Kurke, H., Pfister, G., Roczen, M.: Henselsche Ringe und algebraische Geometrie. Berlin: Deutscher Verlag der Wissenschaften 1975 · Zbl 0306.13012
[16] Moi?ezon, B.G.: Onn-dimensional compact complex varieties withn algebraically independent meromorphic functions. I?III. Izv. Akad. Nauk SSSR Ser. Mat.30, 133-174; 345-386; 621-656 (1966). Traduit en anglais dans: Am. Math. Soc. Trans.63, 51-177 (1967)
[17] Moi?ezon, B.G.: Modifications of complex varieties and the Chow lemma. Dans: Lecture Notes in Mathematics, Vol. 412, pp. 133-139. Berlin, Heidelberg, New York: Springer 1974
[18] Raynaud, M., Gruson, L.: Critères de platitude et projectivité. Invent. Math.13, 1-89 (1971) · Zbl 0227.14010 · doi:10.1007/BF01390094
[19] Seminaire, H. Cartan 1960-61: Familles d’espaces complexes et fondements de la géometrie analytique. Paris: École Norm. Sup. (1962)
[20] Zak, F.L.:q-finite morphisms in formal algebraic geometry. Izv. Akad. Nauk SSSR Ser. Mat.39, 28-68 (1975). Traduit en anglais dans: Math. USSR Izvestija9, 27-62 (1975) · Zbl 0307.14006
[21] Zariski, O., Samuel, P.: Commutative Algebra, Vol. 1. Berlin, Heidelberg, New York: Springer 1975 · Zbl 0313.13001
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