Skip to main content
SpringerLink
Log in

On the rank of non-rigid period maps in the weight one and two case

  • Conference paper
  • First Online:
Complex Algebraic Varieties

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1507))

  • 936 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
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. W.L. Baily and A. Borel: Compactifications of arithmetic quotients of bounded symmetric domains, Ann. of Math. (2) 84 (1966), 442–528.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. A. Carlson, D. Toledo: Integral manifolds, harmonic mappings, and the abelian subspace problem, in: Springer Lect. Notes in Math. 1352, 1989.

    Google Scholar 

  3. J. A. Carlson, A. Kasparian, D. Toledo: Variations of Hodge structure of maximal dimension, Duke Math. J. 58 (1989) 669–694.

    Article  MathSciNet  MATH  Google Scholar 

  4. J.A. Carlson, C. Simpson: Shimura varieties of weight two Hodge structures in Hodge theory, Springer Lecture Notes in Mathematics 1246 (1987) 1–15, Springer Verlag, Berlin etc.

    Chapter  Google Scholar 

  5. J. Noguchi: Moduli spaces of holomorphic mappings into hyperbolically embedded complex spaces and locally symmetric spaces, Invent. Math. 93 (1988) 15–34.

    Article  MathSciNet  MATH  Google Scholar 

  6. C. A. M. Peters: Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems, Comp. Math. 75,(1990) 113–126.

    MathSciNet  MATH  Google Scholar 

  7. T. Sunada: Holomorphic mappings into a compact quotient of symmetric bounded domain. Nagoya Math. J. 64 (1976) 159–175.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematics, Univ. of Leiden, Postbus 9512, 2300 AL, Leiden, Netherlands

    C. A. M. Peters

Authors
  1. C. A. M. Peters
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Klaus Hulek Thomas Peternell Michael Schneider Frank-Olaf Schreyer

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Peters, C.A.M. (1992). On the rank of non-rigid period maps in the weight one and two case. In: Hulek, K., Peternell, T., Schneider, M., Schreyer, FO. (eds) Complex Algebraic Varieties. Lecture Notes in Mathematics, vol 1507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094517

Download citation

  • DOI: https://doi.org/10.1007/BFb0094517

  • Received:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55235-2

  • Online ISBN: 978-3-540-46786-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation