References
[A1] Artin, M.: Algebraic approximation of structures over complete local rings. Publ. Math. Inst. Hautes Etud. Sci,36, 23–58 (1969)
[A2] Artin, M.: Deformations of singularities. Tata Lecture Notes 1976
[A3] Artin, M.: Versal deformations and algebraic stacks. Invent. Math.27, 165–189 (1974)
[B] Bourbaki, N.: Algèbre commutative. Paris: Herman 1961-1965
[E] Elkik, R.: Solutions d'équations à coefficients dans un anneau hensélien. Ann. Sci.6, 553–603 (1973)
[F1] Flenner, H.: Über Deformationen holomorpher Abbildungen. Habil.-Schrift, Osnabrück 1978
[F2] Flenner, H.: Ein Kriterium für die Offenheit der Versalität. Math. Z.178, 449–473 (1981)
[F3] Flenner, H.: Babylonian Tower Theorems on the punctured spectrum. Math. Ann.271, 153–160 (1985)
[Gr] Grauert, H.: Über die Deformation isolierter Singularitäten analytischer Mengen. Invent. Math.15, 171–198 (1972)
[G1] Grothendieck, A.: EGA 0-IV. Publ. Math. Inst. Hautes Etud. Sci.4, 8, 11, 17, 20, 24, 28, 32 (1960–1967)
[G2] Grothendieck, A.: Cohomologie locale des faisceaux cohérents et Théoremes de Lefschetz locaux et globaux (SGA2). Amsterdam: North Holland 1968
[HK] Herzog, J. Kunz, E. (ed.) Der kanonische Modul eines Cohen-Macaulay-Rings. (Lect. Notes Math. vol. 238) Berlin Heidelberg New York: Springer 1971
[I] Illusie, L.: Complexe cotangent et déformations I. (Lect. Notes Math., vol 239). Berlin Heidelberg New York: Springer 1971
[K] Kosarew, S.: Grothendieck's existence theorem in analytic geometry and related results. Regensb. Math. Schr.14 (1987)
[Ra] Raynaud, M.: Anneaux locaux Henséliens. (Lect. Notes Math., vol 169) Berlin Heidelberg New York: Springer 1970
[Ri] Rim, D.S.: Formal deformation theory. In SGA 7.1. (Lect Notes Math., vol 288) Berlin Heidelberg New York: Springer 1972
[Sch] Schlessinger, M.: Functors of Artin rings. Trans. AMS130, 208–222 (1968)
[T] Trautmann, G.: Deformationen von isolierten Singularitäten kohärenter analytischer Garben. Math. Ann.22, 71–89 (1976)
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von Essen, H. Nonflat deformations of modules and isolated singularities. Math. Ann. 287, 413–427 (1990). https://doi.org/10.1007/BF01446903
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DOI: https://doi.org/10.1007/BF01446903