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On the cohomology of locally symmetric hermitian spaces

  • Gerd Faltings
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1029)

Keywords

Differential Operator Spectral Sequence Direct Summand Automorphic Form Harmonic Form 
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Bibliography

  1. [AMRT]
    A. Ash, D. Mumford, M. Rapoport, Y. Tai: Smooth Compactification of Locally Symmetric Varieties, Math Sci Press, Brookline 1975.zbMATHGoogle Scholar
  2. [BGG]
    I.N. Bernstein, I.M. Gelfand, S.I. Gelfand: Differential Operators on the Base Affine Space and a Study of g-modules: Lie Groups and their Representations, edited by I.M. Gelfand, Adam Hilger, London 1975.Google Scholar
  3. [BS]
    A. Borel, J-P. Serre: Corners and Arithmetic Groups, Comm. Math. Helv. 48 (1973), 436–491.MathSciNetzbMATHCrossRefGoogle Scholar
  4. [BW]
    A. Borel, B. Wallach: Continuous Cohomology, Discrete Subgroups, and representations of Reductive Groups, Princeton Univ. Press, Princeton 1980.zbMATHGoogle Scholar
  5. [D]
    P. Deligne: La Conjecture de Weil. II. Publ. Math. 52 (1980), 137–252MathSciNetzbMATHCrossRefGoogle Scholar
  6. [F]
    G. Faltings: Formale Geometrie und homogene Räume, Invent. Math. 64 (1981), 123–165.MathSciNetzbMATHCrossRefGoogle Scholar
  7. [H]
    G. Harder: A Gauss-Bonnet Formula for Discrete Arithmetically Defined Groups Ann. ENS 4 (1971), 409–455.MathSciNetzbMATHGoogle Scholar
  8. [MM]
    Y. Matsushima, S. Murakami: Vector Bundle valued Harmonic Forms and Automorphic Forms on a Symmetric Riemannian Manifold, Ann. of Math. 78 (1963), 365–416.MathSciNetzbMATHCrossRefGoogle Scholar
  9. [M]
    D. Mumford: Hirzebruch’s Proportionality Theorem in the Non-Compact Case, Invent. Math. 42 (1977), 239–272.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Gerd Faltings
    • 1
  1. 1.Math. Institut der Universität WuppertalWuppertalGermany

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