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Holomorphe Korrespondenzen und Meromorphe Abbildungen Allgemeiner Komplexer Räume-Fortsetzungssätze

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Abstract

The numerous results concerning analytic sheaf extension obtained in the last time can be applied to the extension problem for holomorphic correspondences and meromorphic mappings of complex spaces. In this paper, from a fundamental theorem of J. Frisch and J. Guenot [3, Th. VII. 2] extension theorems of the type of the 2nd Riemann removable singularities theorem are deduced.

The definition of holomorphic correspondences is based on a categorial concept; it is shown that an arbitrary category with products and fibre products can be embedded in a category of correspondences.

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Literatur

  1. AUSLANDER, M., u. D. A. BUCHSBAUM: Homological dimension in local rings. Trans. A.M.S. 85, 390–405 (1957).

    Article  MathSciNet  MATH  Google Scholar 

  2. BRINKMANN, H.-B., u. D. PUPPE: Abelsche und exakte Kategorien, Korrespondenzen (Lecture notes in mathematics 96). Berlin-Heidelberg-New York: Springer 1969.

    Book  MATH  Google Scholar 

  3. FRISCH, J., u. J. GUENOT: Prolongement de faisceaux analytiques cohérents. Inv. math. 7, 321–343 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  4. FUJIMOTO, H.: The theorem of identity for coherent analytic submodules. Nagoya Math. Journ. 29, 103–120 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  5. KRAUS, G.: Korrespondenzen und meromorphe Abbildungen. Dissertation Univ. München 1970.

  6. SCHEJA, G.: Fortsetzungssätze der komplex-analytischen Cohomologie und ihre algebraiche Charakterisierung. Math. Ann. 157, 75–94 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  7. SIU, Y.-T.: Noether-Lasker decomposition of coherent analytic subsheaves. Trans. A.M.S. 135, 375–385 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  8. STEIN, K.: Maximale holomorphe und meromorphe Abbildungen II. Am. Journ. Math. 86, 823–867 (1968).

    Article  MathSciNet  Google Scholar 

  9. STEIN, K.: Fortsetzung holomorpher Korrespondenzen. Inv. math. 6, 78–90 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  10. STEIN, K.: Meromorphic mappings. Monographie N0 17 de L'Enseignement Math., Genf 1968.

  11. STEIN, K.: Topics on holomorphic correspondences. Erscheint voraussichtlich im Rocky Mountain Journal.

  12. THIMM, W.: Lückengarben von kohärenten analytischen Modulgarben. Math. Ann. 148, 372–394 (1962).

    Article  MathSciNet  MATH  Google Scholar 

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  1. Mathematisches Institut der Universität München, Schellingstrasse 2-8, 8 München 13

    Günther Kraus

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  1. Günther Kraus
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Kraus, G. Holomorphe Korrespondenzen und Meromorphe Abbildungen Allgemeiner Komplexer Räume-Fortsetzungssätze. Manuscripta Math 6, 1–15 (1972). https://doi.org/10.1007/BF01298409

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