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Versal deformations and algebraic stacks. (English) Zbl 0317.14001

14A20 Generalizations (algebraic spaces, stacks)
14D15 Formal methods and deformations in algebraic geometry
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[1] Artin, M.: The implicit function theorem in algebraic geometry. Algebraic geometry. Papers presented at the Bombay Colloquium, pp. 13-34. Bombay-Oxford: 1969
[2] Artin, M.: Algebraic approximation of structures over complete local rings. Pub. Math. I.H.E.S. No. 36, 23-58 (1969) · Zbl 0181.48802
[3] Artin, M.: Algebraization of formal moduli I. Global analysis, pp. 21-71. Tokyo 1969 · Zbl 0205.50402
[4] Artin, M.: Construction techniques for algebraic spaces. Actes du Congrès Int. des Math. 1970, pp. 419-423, Paris Gauthiers-Villars 1971 · Zbl 0232.14003
[5] Artin, M.: Algebraic construction of Brieskorn’s resolutions. J. of Algebra29, 330-348 (1974) · Zbl 0292.14013 · doi:10.1016/0021-8693(74)90102-1
[6] Dehgne, P., Mumford, D.: The irreducibility of the space of curves of given genus. Publ. Math. I.H.E.S. No. 36, 75-110 (1969) · Zbl 0181.48803
[7] Demazure, M., Grothendieck, A.: Schémas en groupes I, exposé 5, by P. Gabriel. Lecture Notes in Mathematics151. Berlin-Heidelberg-New York: Springer 1970
[8] Elkik, R.: Algébrisation du module formel d’une singularité isolée. Séminaire. E.N.S. 1971-72, exposé 8
[9] Elkik, R.: Solutions d’équations à coefficients dans un anneau hensélien. Ann. Sci. École Norm. Sup., Paris,6, 553-603 (1973) · Zbl 0327.14001
[10] Giraud, J.: Cohomologie non abélienne. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0226.14011
[11] Illusie, L.: Complexe cotangent et déformations I. Lecture Notes in Mathematics239, Berlin-Heidelberg-New York: Springer 1971 · Zbl 0224.13014
[12] Knutson, D.: Algebraic spaces. Lecture Notes in Mathematics203. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0221.14001
[13] Kodaira, K.: Pluricanonical systems on algebraic surfaces of general type. J. Math. Soc. Japan20, 170-192 (1968) · Zbl 0157.27704 · doi:10.2969/jmsj/02010170
[14] Mumford, D.: The canonical ring of an algebraic surface, appendix to a paper by 0. Zariski. Ann. of Math.76, 560-615 (1962) · Zbl 0124.37001 · doi:10.2307/1970376
[15] Rim, D. S.: Formal deformation theory, Groupes de monodromie en géométrie algébrique exposé 6. Lecture Notes in Mathematics288, Berlin-Heidelberg-New York: Springer 1972
[16] Schlessinger, M.: Functors of Artin rings. Trans. A.M.S.130, 208-222 (1968) · Zbl 0167.49503 · doi:10.1090/S0002-9947-1968-0217093-3
[17] Schlessinger, M.: On rigid singularities. Rice University Studies59, 147-162 (1973) · Zbl 0279.32006
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