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Formal-algebraic and rigid-analytic geometry

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References

  1. Artin, M.: Algebraization of formal moduli. I. Global analysis (in honor of K. Kodaira), pp. 21–71, Princeton: Princeton Univ. Press 1970

    Google Scholar 

  2. Bourbaki, N.: Algèbre commutative. Chaps. 1–9, Paris: Hermann 1961–1965, Paris: Masson 1980–1985

    Google Scholar 

  3. Andreotti, A., Grauert, H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. Fr.90, 193–259 (1962)

    MathSciNet  MATH  Google Scholar 

  4. Chai, C.-L., Faltings, G.: Semiabelian degeneration and compactification. Forthcoming book (1990)

  5. Grothendieck, A.: Eléments de la géométrie algébrique. Publ. Math. IHES4, 8, 11, 17, 20, 24, 28, 32 (1960–1967)

  6. Faltings, G.:p-adic Hodge theory. J. AMS1 (1988)

  7. Grothendieck, A.: Fondements de la géometrie algébrique. Extraits du Séminaire Bourbaki (1957–1962) no 149, 182, 190, 195, 212, 221, 232, 236. New York: Benjamin 1966

    Google Scholar 

  8. Gerritzen, L., Grauert, H.: Die Azyklizität der affinoiden Überdeckungen. Global analyis, Papers in Honor of K. Kodaira, 159–184. Tokyo: University of Tokyo Press; Princeton: Princeton University Press 1969

    MATH  Google Scholar 

  9. Goodman, J., Hartshorne, R.: Schemes with finite-dimensional cohomology groups. Am. J. Math.91, 258–266 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  10. Grauert, H., Remmert, R.: Nichtarchimedische Funktionentheorie. Weierstraß-Festschrift, Wissenschaftl. Abh. Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen33, 393–476 (1966)

    MathSciNet  MATH  Google Scholar 

  11. Grauert, H., Remmert, R.: Über die Methode der diskret bewerteten Ringe in der nichtarchimedischen Analysis. Invent. Math.2, 87–133 (1966)

    Article  MathSciNet  MATH  Google Scholar 

  12. Hartshorne, R.: Ample subvarieties of algebraic varieties. (Lect. Notes Math., vol. 156). Berlin Heidelberg New York: Springer 1970

    MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  15. Kiehl, R.: Analytische Familien affinoider Algebren. Heidelb. Sitzungsber. math. nat. Kl. 25–49 (1968)

  16. Mehlmann, F.: Flache Homomorphismen affinoider Algebren. Schriftenr. Math. Inst. Univ. Münster, 2. Ser.19 (1981)

  17. Nagata, M.: Imbedding of an abstract variety in a complete variety. J. Math. Kyoto Univ.2, 1–10 (1962)

    MathSciNet  MATH  Google Scholar 

  18. Nagata, M.: A generalization of the imbedding problem of an abstract variety in a complete variety. J. Math. Kyoto Univ.3, 89–102 (1962)

    MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  20. Raynaud, M.: Géométrie analytique rigide. Table ronde d'analyse non archimedienne, Mém. Soc. Math. Fr. Nouv. Ser.39–40, 319–327 (1974)

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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  1. Mathematisches Institut, Universität, Einsteinstraße 62, D-4400, Münster, Federal Republic of Germany

    Werner Lütkebohmert

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  1. Werner Lütkebohmert
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Dedicated to Hans Grauert

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Lütkebohmert, W. Formal-algebraic and rigid-analytic geometry. Math. Ann. 286, 341–371 (1990). https://doi.org/10.1007/BF01453580

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