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Deformations of sheaves and bundles

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Part of the Lecture Notes in Mathematics book series (LNM,volume 683)

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References

  1. Douady: Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné, Ann. Inst. Fourier 16, 1–95 (1966).

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Le problème des modules locaux pour les espaces ∁-analytiques compacts, Ann. Sci. Ec. Norm. Sup. 7, 569–602 (1974).

    MathSciNet  MATH  Google Scholar 

  3. Forster-Knorr: Über die Deformation von Vektorraumbündeln auf kompakten komplexen Räumen, Math. Ann. 209, 291–346 (1974).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Konstruktion verseller Deformationen kompakter komplexer Räume, Manuskript 1977.

    Google Scholar 

  5. Frisch: Aplatissement en Géométrie analytique, Ann. Sci. Ec. Norm. Sup. 1, 305–312 (1968).

    MathSciNet  MATH  Google Scholar 

  6. Grauert: Über die Deformation isolierter Singularitäten analytischer Mengen, Inv. math. 15, 171–198 (1972).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Der Satz von Kuranishi für kompakte komplexe Räume, Inv. math. 25, 107–142 (1974).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Grothendieck: Eléments de Géométrie Algébrique II, I.H.E.S. No. 8 (1961).

    Google Scholar 

  9. Horrocks: Vector bundles on the punctured spectrum of a local ring, Proc. London Math. Soc. 14, 689–713 (1964).

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. A construction of locally free sheaves, Topology 7, 117–120 (1968).

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Schuster: Formale Deformationstheorien, Habilitationsschrift, München 1971.

    Google Scholar 

  12. Siu: Characterization of privileged polydomains, Trans. Am. Math. Soc. 193, 329–357 (1974).

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Siu-Trautmann: Deformation of coherent analytic sheaves with compact supports, forthcoming.

    Google Scholar 

  14. Trautmann: Darstellung von Vektorraumbündeln über ∁n-{o}, Arch. Math. 24, 303–313 (1973).

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Deformation von isolierten Singularitäten kohärenter analytischer Garben, Math. Ann. 223, 71–89 (1976).

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. Deformations and moduli of coherent analytic sheaves with finite singularities, Sem. Norguet 1976 forthcoming Lecture Notes in Mathematics, Springer.

    Google Scholar 

  17. Moduli for bundles on ℙn, forthcoming.

    Google Scholar 

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© 1978 Springer-Verlag

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Trautmann, G. (1978). Deformations of sheaves and bundles. In: Hervier, Y., Hirschowitz, A. (eds) Variétés Analytiques Compactes. Lecture Notes in Mathematics, vol 683. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063172

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  • DOI: https://doi.org/10.1007/BFb0063172

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