Skip to main content
Book cover

Hodge Theory pp 107–114Cite as

Truncations of mixed hodge complexes

Part of the Lecture Notes in Mathematics book series (LNM,volume 1246)

Keywords

  • Spectral Sequence
  • Projective Variety
  • Hodge Structure
  • Weight Filtration
  • Mixed Hodge Structure

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Clemens, C.H.: Degeneration of Kähler manifolds. Duke Math. J. 44, 215–290 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Deligne, P.: Théorie de Hodge, II. Publ. Math. IHES 40, 5–57 (1971); III, 44, 5–77 (1974)

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Durfee, A.: Mixed Hodge structures on punctured neighborhoods. Duke Math. J. 50, 1017–1040 (1983)

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. El Zein, F.: Mixed Hodge structures. Trans. AMS 275, 71–106 (1983)

    CrossRef  MathSciNet  Google Scholar 

  5. Hain, R.: The de Rham homotopy theory of complex algebraic varieties, I. To appear.

    Google Scholar 

  6. Navarro Aznar, V.: Sur la théorie de Hodge des variétés algébriques à singularités isolées, 1983

    Google Scholar 

  7. Steenbrink, J.: Mixed Hodge structures associated with isolated singularities. In: Singularities, Proc. Symp. Pure Math 40(2), 513–536 (1983)

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Zucker, S.: Hodge theory with degenerating coefficients: L2 cohomology in the Poincaré metric. Ann. Math. 109, 415–476 (1979)

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Zucker, S.: Degeneration of Hodge bundles (after Steenbrink). In: Topics in Transcendental Algebraic Geometry. Ann. Math. Studies 106, 121–141 (1984)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this chapter

Cite this chapter

Hain, R.M., Zucker, S. (1987). Truncations of mixed hodge complexes. In: Cattani, E., Kaplan, A., Guillén, F., Puerta, F. (eds) Hodge Theory. Lecture Notes in Mathematics, vol 1246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077533

Download citation

  • DOI: https://doi.org/10.1007/BFb0077533

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17743-2

  • Online ISBN: 978-3-540-47794-5

  • eBook Packages: Springer Book Archive