Skip to main content
Log in

Formal and rigid geometry

I. Rigid spaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  • [A] Artin, M.: Grothendieck topologies Notes on a seminar by M. Artin, Harvard University (1962)

  • [AC] Bourbaki, N.: Algèbre commutative. Chap. 1–9. Paris: Hermann, 1961–65; Paris: Masson, 1980–85

    Google Scholar 

  • [B] Bosch, S.: Orthonormalbasen in der nichtarchimedischen Funktionentheorie. Manuscr. Math.1, 35–57 (1969)

    Google Scholar 

  • [BGR] Bosch, S.: Güntzer, U.; Remmert, R.: Non-Archimedean analysis. (Grundlehren Band 261) Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  • [EGA] Grothendieck, A.: Eléments de géométrie algébrique. Publ. Math. IHES, 4, 8, 11, 17, 20, 24, 28, 32, (1960–67); (Grundlehren Band 166), Berlin Heidelberg New York: Springer 1971

    Google Scholar 

  • [FII] Bosch, S.; Lütkebohmert, W.: Formal and rigid geometry. II. Flattening techniques. To appear

  • [GG] Gerritzen, L.; Grauert, H.: Die azyklizität der affinoiden Überdeckungen. Global Analysis, Papers in Honor of K. Kodaira, 159–184, Tokyo: University of Tokyo Press, Princeton: Princeton University Press 1969

    Google Scholar 

  • [H] Hartshorne, R.: Residues and duality (Lect. Notes Math. vol. 20) Berlin Heidelberg New York. Springer 1966

    Google Scholar 

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

    Google Scholar 

  • [R] Raynaud, M.: Géométrie analytique rigide d'aprè Tate, Kiehl, ... Table ronde d'analyse non archimedienne. Bull. Soc. Math. Fr. Mém.39/40, 319–327 (1974)

    Google Scholar 

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

    Google Scholar 

  • [T] Tate, J.: Rigid analytic spaces. Invent. Math.12, 257–289 (1971)

    Google Scholar 

  • [V] Verdier, J.-L.: Catégories derivées. Notes multigraphiées de l'I.H.E.S.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bosch, S., Lütkebohmert, W. Formal and rigid geometry. Math. Ann. 295, 291–317 (1993). https://doi.org/10.1007/BF01444889

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01444889

Mathematics Subject Classification (1991)

Navigation