Skip to main content
SpringerLink
Log in

On the existence of analytic contractions

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ancona, V.: Une generalisation d'un théorème de Artin-Fujiki. Preprint

  2. Ancona, V., Tomassini, G.: Théorèmes d'existence pour les modifications analytiques. Invent. math.51, 271–286 (1979)

    Google Scholar 

  3. Artin, M.: Algebraization of formal moduli: II. Existence of modifications. Ann. of Math.91, 88–135 (1970)

    Google Scholar 

  4. Bingener, J.: Schemata über Steinschen Algebren. Schriftenreihe des Mathematischen Instituts der Universität Münster, 2. Serie, Heft10, 1–52 (1976)

    Google Scholar 

  5. Bingener, J.: Über formale komplexe Räume. Manuscripta Math.24, 253–293 (1978)

    Google Scholar 

  6. Bingener, J.: Darstellbarkeitskriterien für analytische Funktoren. Ann. Sci. École Norm. Sup.13, 317–347 (1980)

    Google Scholar 

  7. Bourbaki, N.: Algèbre commutative. Paris: Hermann 1961–1967

    Google Scholar 

  8. Cornalba, M.: Two Theorems on Modifications of Analytic Spaces. Invent. math.20, 227–247 (1973)

    Google Scholar 

  9. Forster, O., Knorr, K.: Relativ-analytische Räume und die Kohärenz von Bildgarben. Invent. math.16, 113–160 (1972)

    Google Scholar 

  10. Frisch, J.: Points de platitude d'un morphisme d'espaces analytiques complexes. Invent. math.4, 118–138 (1967)

    Google Scholar 

  11. Frisch, J.: Aplatissement en géometrie analytique. Ann. Sci. École Norm. Sup.1, 305–312 (1968)

    Google Scholar 

  12. Fujiki, A.: On the blowing down of analytic spaces. Publ. Res. Inst. Math. Sci. Kyoto University10, 437–507 (1974)

    Google Scholar 

  13. Fujiki, A., Nakano, S.: Supplement to “On the Inverse of Monoidal Transformation”. Publ. Res. Inst. Math. Sci. Kyoto University7, 637–644 (1971)

    Google Scholar 

  14. Grauert, H.: Uber Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962)

    Google Scholar 

  15. Grauert, H., Remmert, R.: Bilder und Urbilder analytischer Garben. Ann. of Math.68, 393–443 (1958)

    Google Scholar 

  16. Grothendieck, A., Dieudonné, J.: Eléments de géometrie algebrique. Publ. Math. IHES4,8, 11, 17, 20, 24, 28, 32 (1960–1967)

  17. Hironaka, H.: Flattening theorem in complex-analytic geometry. Amer. J. Math.97, 503–547 (1975)

    Google Scholar 

  18. Kaup, B.: Über Kokerne und Pushouts in der Kategorie der komplex-analytischen Räume. Math. Ann.189, 60–76 (1970)

    Google Scholar 

  19. Kexel, W.: Zariski-Offenheit von eigentlichen, flachen holomorphen Abbildungen. Dissertation, Bayreuth 1977

  20. Kiehl, R.: Note zu der Arbeit von J. Frisch: “Points de platitude d'un morphisme d'espaces analytiques complexes”. Invent. math.4, 139–141 (1967)

    Google Scholar 

  21. Krasnov, B.A.: Formal Modifications. Existence Theorems for modifications of complex manifolds. Math. USSR-Izv.7, 847–881 (1973)

    Google Scholar 

  22. Mazur, J.: Conditions for the existence of contractions in the category of algebraic spaces. Trans. Amer. Math. Soc.209, 259–265 (1975)

    Google Scholar 

  23. Murre, J.P.: Répresentation of unramified functors. Seminaire Bourbaki, exposé 294

  24. Nakano, S.: On the inverse of monoidal transformation. Publ. Res. Inst. Math. Sci. Kyoto University6, 483–502 (1970)

    Google Scholar 

  25. Nakano, S.: On weakly 1-complete manifolds. In: Manifolds Tokyo 1973, pp. 323–327. University of Tokyo Press 1975

  26. Raynaud, M., Gruson, L.: Critères de platitude et de projectivité. Invent. math.13, 1–89 (1971)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik der Universität, Universitätsstraße 31, D-8400, Regensburg, Federal Republic of Germany

    Jürgen Bingener

Authors
  1. Jürgen Bingener
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bingener, J. On the existence of analytic contractions. Invent Math 64, 25–67 (1981). https://doi.org/10.1007/BF01393933

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01393933

Search

Navigation