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Holomorphic and meromorphic mappings and curvature

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References

  1. Bishop, E.: Conditions for the analyticity of certain sets. Michigan Math. J.11, 289–304 (1964)

    Google Scholar 

  2. Carlson, J.: Some degeneracy theorems for entire functions with values in an algebraic variety. Trans. A.M.S.168, 273–301 (1972)

    Google Scholar 

  3. Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962)

    Google Scholar 

  4. Grauert, H., Remmert, R.: Konvexität in der komplexen Analysis. Nichtholomorphkonvexe Holomorphiegebiete und Anwendungen auf die Abbildungstheorie. Comm. Math. Helv.31, 152–183 (1956)

    Google Scholar 

  5. Griffiths, P. A.: Hermitian differential geometry, Chern classes, and positive vector bundles. In: Global analysis (D. C. Spencer and S. Iyanga, eds.). Princeton, N. J.: Princeton Univ. Press 1970, pp. 185–251

    Google Scholar 

  6. Griffiths, P. A.: Holomorphic mapping into canonical algebraic varieties. Ann. of Math.93, 439–458 (1971)

    Google Scholar 

  7. Griffiths, P. A.: Two theorems on extensions of holomorphic mappings. Inventiones Math.14, 27–62 (1971)

    Google Scholar 

  8. Hartshorne, R.: Ample vector bundles. Publ. I.H.E.S.29, 319–350 (1966)

    Google Scholar 

  9. Hironaka, H.: Flattening theorem in complex-analytic geometry. Amer. J. Math.97, 503–547 (1975)

    Google Scholar 

  10. Kerner, H.: Bemerkung zu einem Satz von H. Grauert und R. Remmert. Math. Ann.157, 206–209 (1964)

    Google Scholar 

  11. Klembeck, P. F.: Function theory on complete open hermitian manifolds. Thesis, U.C.L.A., 1975

  12. Levi, E. E.: Studii sui punti singolari essenziali delle funzioni analitiche di due o più variabili complesse. Ann. Mat. Pura ed Appl.17, 61–87 (1910)

    Google Scholar 

  13. Moishezon, B. G.: Onn-dimensional compact varieties withn algebraically independent meromorphic functions. I, Izv. Akad. Nauk SSSR Ser. Mat.30, 133–174 (1966); A.M.S. Translations63, 51–177 (1967)

    Google Scholar 

  14. Remmert, R., Stein, K.: Über die wesentlichen singularitaten analytischer Mengen. Math. Ann.126, 263–306 (1953)

    Google Scholar 

  15. Rothstein, W.: Zur Theorie der analytischen Mannigfaltigkeiten im Raume vonn komplexen Veränderlichen. Math. Ann.129, 96–138 (1955)

    Google Scholar 

  16. Shiffman, B.: On the removal of singularities of analytic sets. Michigan Math. J.15, 111–120 (1968)

    Google Scholar 

  17. Shiffman, B.: Extension of holomorphic maps into hermitian manifolds. Math. Ann.194, 249–258 (1971)

    Google Scholar 

  18. Shiffman, B.: Extension of holomorphic maps. Bull. A.M.S.82. 293–296 (1976)

    Google Scholar 

  19. Siu, Y. T.: Techniques of extension of analytic objects. New York: Marcel Dekker 1974

    Google Scholar 

  20. Siu, Y. T.: Extension of meromorphic maps into Kahler manifolds. Ann. of Math.102, 421–462 (1975)

    Google Scholar 

  21. Siu, Y. T., Trautmann, G.: Gap-sheaves and extension of coherent analytic subsheaves. Lecture Notes in Mathematics 172. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  22. Stein, K.: Fortsetzung holomorpher Korrespondenzen. Inventiones Math.6, 78–90 (1968)

    Google Scholar 

  23. Stoll, W.: Über die Fortsetzbarkeit analytischer Mengen endlichen Oberflächeninhaltes. Arch. Math.9, 167–175 (1958)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, The Johns Hopkins University, 21218, Baltimore, Maryland, USA

    Bernard Shiffman

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  1. Bernard Shiffman
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Research partially supported by N.S.F. Grant MPS 74-00189 and by a Sloan Fellowship

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Shiffman, B. Holomorphic and meromorphic mappings and curvature. Math. Ann. 222, 171–194 (1976). https://doi.org/10.1007/BF01418326

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