Skip to main content
Log in

A new proof of the Gerritzen-Grauert theorem

  • 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

  1. Berkovich, V.: Spectral theory and analytic geometry over non-Archimedean fields. Mathematical Surveys and Monographs, vol. 33, American Mathematical Society, 1990

  2. Berkovich, V.: Étale cohomology for non-Archimedean analytic spaces. Publ. Math. IHES 78, 5–161 (1993)

    Google Scholar 

  3. Bosch, S., Güntzer, U., Remmert, R.: Non-Archimedean analysis. A systematic approach to rigid analytic geometry. Springer, Berlin-Heidelberg-New York, 1984

  4. Bosch, S., Lütkebohmert, W.: Formal and rigid geometry. II. Flattening techniques. Math. Ann. 296, 403–429 (1993)

    Google Scholar 

  5. Ducros, A.: Parties semi-algébriques d'une variété algébrique p-adique. Manuscripta Math. 111, 513–528 (2003)

    Article  Google Scholar 

  6. Grothendieck, A., Dieudonne, J.: Éléments de géométrie algébrique I. Le langage des schémas. Publ. Math. IHES 4, 1–228 (1960)

    Google Scholar 

  7. Gerritzen, L., Grauert, H.: Die Azyklizität der affinoiden überdeckungen. 1969 Global Analysis (Papers in Honor of K. Kodaira) 159–184, Univ. Tokyo Press, Tokyo

  8. Gruson, L.: Théorie de Fredholm p-adique. Bull. Soc. Math. France 94, 67–95 (1966)

    Google Scholar 

  9. Raynaud, M.: Géométrie analytique rigide d'après Tate, Kiehl,. . . . Bull. Soc. Math. Fr. Mém. 39/40, 319–327 (1974)

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

    Article  Google Scholar 

  11. Temkin, M.: On local properties of non-Archimedean analytic spaces II. Isr. J. of Math. 140, 1–27 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Temkin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Temkin, M. A new proof of the Gerritzen-Grauert theorem. Math. Ann. 333, 261–269 (2005). https://doi.org/10.1007/s00208-005-0660-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00208-005-0660-4

Navigation