Skip to main content
SpringerLink
Log in

Formal and rigid geometry

II. Flattening techniques

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

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. Bourbaki, N.: Algèbre commutative, Chap. 1–9. Paris: Hermann 1961–65 and Paris: Masson 1980–85

    Google Scholar 

  2. Bass, H.: Big projective modules are free. Ill. J. Math.7, 23–31 (1963)

    Google Scholar 

  3. Bosch, S., Güntzer, U., Remmert, R.: Non-archimedean analysis (Grundl. Math., Bd. 261) Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  4. Grothendieck, A.: Eléments de la géométrie algébrique. Publ. Math., Inst. Hautes Étud. Sci.4, 8, 11, 17, 20, 24, 28, 32 (1960–1967)

  5. Gerritzen, L., Grauert, H.: Die Azyklizität der affinoiden Überdeckungen. In: Spencer, D.C., Iyanaga, S. (eds.) Global Analysis. Papers in Honor of K. Kodaira, pp. 159–184. Tokyo: University of Tokyo Press and Princeton: Princeton University Press 1969

    Google Scholar 

  6. Bosch, S., Lütkebohmert, W.: Formal and rigid geometry. I. Rigid spaces. Math. Ann.295, 291–317 (1993)

    Google Scholar 

  7. Kiehl, R.: Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie. Invent. Math.2, 191–214 (1967)

    Google Scholar 

  8. Kiehl, R.: Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie. Invent. Math.2, 256–273 (1967)

    Google Scholar 

  9. Kiehl, R.: Analytische Familien affinoider Algebren. Sitzungsber. Heidelb. Akad. Wiss., Math.-Naturwiss. Kl. 25–49 (1968)

  10. Lütkebohmert, W.: Formal-algebraic and rigid-analytic geometry. Math. Ann.286, 341–371 (1990)

    Google Scholar 

  11. Mehlmann, F.: Ein Beweis für einen Satz von Raynaud über flache Homomorphismen affinoider Algebren. Schriftenr. Math. Inst. Univ. Münster, 2. Ser.19 (1981)

  12. Raynaud, M.: Géométrie anaytique rigide d'aprés Tate, Kiehl, ... Table ronde d'analyse non archimedienne. Mém. Soc. Math. Fr. 39–40, 319–327 (1974)

    Google Scholar 

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

    Google Scholar 

  14. Tate, J.: Rigid analytic spaces. Invent. Math.12, 257–289 (1971)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität Münster, Einsteinstrasse 62, W-4400, Münster, Germany

    Siegfried Bosch

  2. Fakultät für Mathematik der Universität Ulm, Helmholtzstrasse 18, W-7900, Ulm, Germany

    Werner Lütkebohmert

Authors
  1. Siegfried Bosch
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Werner Lütkebohmert
    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

Bosch, S., Lütkebohmert, W. Formal and rigid geometry. Math. Ann. 296, 403–429 (1993). https://doi.org/10.1007/BF01445112

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01445112

Mathematics Subject Classification (1991)

Search

Navigation