Skip to main content

On the cohomology of locally symmetric hermitian spaces

  • Conference paper
  • First Online:
Séminaire d’Algèbre Paul Dubreil et Marie-Paule Malliavin

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1029))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. A. Ash, D. Mumford, M. Rapoport, Y. Tai: Smooth Compactification of Locally Symmetric Varieties, Math Sci Press, Brookline 1975.

    MATH  Google Scholar 

  2. 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. A. Borel, J-P. Serre: Corners and Arithmetic Groups, Comm. Math. Helv. 48 (1973), 436–491.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Borel, B. Wallach: Continuous Cohomology, Discrete Subgroups, and representations of Reductive Groups, Princeton Univ. Press, Princeton 1980.

    MATH  Google Scholar 

  5. P. Deligne: La Conjecture de Weil. II. Publ. Math. 52 (1980), 137–252

    Article  MathSciNet  MATH  Google Scholar 

  6. G. Faltings: Formale Geometrie und homogene Räume, Invent. Math. 64 (1981), 123–165.

    Article  MathSciNet  MATH  Google Scholar 

  7. G. Harder: A Gauss-Bonnet Formula for Discrete Arithmetically Defined Groups Ann. ENS 4 (1971), 409–455.

    MathSciNet  MATH  Google Scholar 

  8. Y. Matsushima, S. Murakami: Vector Bundle valued Harmonic Forms and Automorphic Forms on a Symmetric Riemannian Manifold, Ann. of Math. 78 (1963), 365–416.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Mumford: Hirzebruch’s Proportionality Theorem in the Non-Compact Case, Invent. Math. 42 (1977), 239–272.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marie-Paule Malliavin

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Faltings, G. (1983). On the cohomology of locally symmetric hermitian spaces. In: Malliavin, MP. (eds) Séminaire d’Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 1029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098927

Download citation

  • DOI: https://doi.org/10.1007/BFb0098927

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12699-7

  • Online ISBN: 978-3-540-38686-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics