Inventiones mathematicae

September 1974, Volume 27, Issue 3, pp 165–189 | Cite as

Versal deformations and algebraic stacks

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• M. Artin

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• 74 Citations

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Versal Deformation Algebraic Stack 

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References

1. 1.
   Artin, M.: The implicit function theorem in algebraic geometry. Algebraic geometry. Papers presented at the Bombay Colloquium, pp. 13–34. Bombay-Oxford: 1969Google Scholar
2. 2.
   Artin, M.: Algebraic approximation of structures over complete local rings. Pub. Math. I.H.E.S. No. 36, 23–58 (1969)Google Scholar
3. 3.
   Artin, M.: Algebraization of formal moduli I. Global analysis, pp. 21–71. Tokyo 1969Google Scholar
4. 4.
   Artin, M.: Construction techniques for algebraic spaces. Actes du Congrès Int. des Math. 1970, pp. 419–423, Paris Gauthiers-Villars 1971Google Scholar
5. 5.
   Artin, M.: Algebraic construction of Brieskorn's resolutions. J. of Algebra29, 330–348 (1974)Google Scholar
6. 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)Google Scholar
7. 7.
   Demazure, M., Grothendieck, A.: Schémas en groupes I, exposé 5, by P. Gabriel. Lecture Notes in Mathematics151. Berlin-Heidelberg-New York: Springer 1970Google Scholar
8. 8.
   Elkik, R.: Algébrisation du module formel d'une singularité isolée. Séminaire. E.N.S. 1971–72, exposé 8Google Scholar
9. 9.
   Elkik, R.: Solutions d'équations à coefficients dans un anneau hensélien. Ann. Sci. École Norm. Sup., Paris,6, 553–603 (1973)Google Scholar
10. 10.
    Giraud, J.: Cohomologie non abélienne. Berlin-Heidelberg-New York: Springer 1971Google Scholar
11. 11.
    Illusie, L.: Complexe cotangent et déformations I. Lecture Notes in Mathematics239, Berlin-Heidelberg-New York: Springer 1971Google Scholar
12. 12.
    Knutson, D.: Algebraic spaces. Lecture Notes in Mathematics203. Berlin-Heidelberg-New York: Springer 1971Google Scholar
13. 13.
    Kodaira, K.: Pluricanonical systems on algebraic surfaces of general type. J. Math. Soc. Japan20, 170–192 (1968)Google Scholar
14. 14.
    Mumford, D.: The canonical ring of an algebraic surface, appendix to a paper by 0. Zariski. Ann. of Math.76, 560–615 (1962)Google Scholar
15. 15.
    Rim, D. S.: Formal deformation theory, Groupes de monodromie en géométrie algébrique exposé 6. Lecture Notes in Mathematics288, Berlin-Heidelberg-New York: Springer 1972Google Scholar
16. 16.
    Schlessinger, M.: Functors of Artin rings. Trans. A.M.S.130, 208–222 (1968)Google Scholar
17. 17.
    Schlessinger, M.: On rigid singularities. Rice University Studies59, 147–162 (1973)Google Scholar

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© Springer-Verlag 1974

Authors and Affiliations

• M. Artin
  • 1

1. 1.Massachusetts Institute of TechnologyCambridgeUSA