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Bounds on the dimension ofL 2 holomorphic sections of vector bundles over complete Kähler manifolds of finite volume

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Bibliography

  1. Andreotti, A., vesentini, E.: Carleman estimates for the Laplace-Beltrami operator on complex manifolds. Publ. Math. Inst. Hautes Études Sci.25 (1965)

  2. Cheeger, J., Goresky, M., MacPherson, R.:L 2-cohomology and intersection homology of singular algebraic varieties, Seminar on Differential Geometry, Annals of Math. Studies, No. 102, 303–340. Princeton: Univ. Press 1982

    Google Scholar 

  3. Hörmander, L.:L 2-estimates and existence theorems for the ∂-operator. Acta Math.113, 89–152 (1965)

    Google Scholar 

  4. Gaffney, M.: A special Stokes' theorem for complete Riemannian manifolds. Ann. Math.60, 140–145 (1954)

    Google Scholar 

  5. Lelong, P.: Sur la structure des courants positifs fermés, Séminaire Pierre Lelong (Analyse) Année 1975/76, Lecture Notes in Math., Vol.578, 136–156. Berlin-Heidelberg-New York: Springer

  6. Siu, Y.-T.: Analyticity of sets associates to Lelong numbers and the extension of closed positive currents. Invent. Math.27, 53–156 (1974)

    Google Scholar 

  7. Siu, Y.-T.: Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems. J. Diff. Geom.17, 55–138 (1982)

    Google Scholar 

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  1. Dept. of Mathematics, Columbia University, 10027, New York, NY, USA

    Ngaiming Mok

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  1. Ngaiming Mok
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Mok, N. Bounds on the dimension ofL 2 holomorphic sections of vector bundles over complete Kähler manifolds of finite volume. Math Z 191, 303–317 (1986). https://doi.org/10.1007/BF01164035

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