Skip to main content
SpringerLink
Log in

A Torelli theorem for Kähler-Einstein K3 surfaces

  • Conference paper
  • First Online:
Geometry Symposium Utrecht 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 894))

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.

References

  1. Atiyah, M., Hitchin, N. and Singer, I.: Self-duality in four dimensional Riemannian geometry, Proc. Royal Soc. A. 362, 425–461 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bourguignon, J.-P.: Premières formes de Chern des variétés kählériennes compactes (d'après E. Calabi, T. Aubin et S.T. Yau), Séminaire Bourbaki, exp.507. Lecture Notes in Mathematics 710, Springer-Verlag, Berlin etc. (1979).

    MATH  Google Scholar 

  3. Burns, D. and Rapoport, M.: On the Torelli problem for kählerian K3 surfaces, Ann. Ec. N. Sup. 4e sér. 8, 235–274 (1975).

    MathSciNet  MATH  Google Scholar 

  4. Kodaira, K.: On the structure of compact complex-analytic surfaces, I, Am. J. Math. 86, 751–798 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  5. Kulikov, V.: Degeneration of K3 surfaces, Izv. Akad. Nauk SSSR 41, no5, 1008–1042 (1977).

    MathSciNet  MATH  Google Scholar 

  6. Looijenga, E. and Peters, C.: Torelli theorems for Kähler K3 surfaces, Comp. Math. 42, 145–186 (1981).

    MathSciNet  MATH  Google Scholar 

  7. Persson, U. and Pinkham, H.: Degenerations of surfaces with trivial canonical bundle, Ann. Math. 113, 45–66 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  8. Serre, J.-P.: Cours d'arithmétique, PUF, Paris (1970).

    MATH  Google Scholar 

  9. Piatetski-Shapiro, I. and Shafarevič,: A. Torelli theorem for algebraic surfaces of type K3, Izv. Akad. Nauk SSSR 35, 530–572 (1971).

    MathSciNet  Google Scholar 

  10. Todorov, A. N.: Applications of the Kähler-Einstein-Calabi-Yau metric to moduli of K3 surfaces. Inventiones Math. 61, 251–265 (1980).

    Article  MATH  Google Scholar 

  11. Vinberg, È.: Discrete groups generated by reflections, Izv. Akad. Nauk SSSR, 1089–1119 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisch Institut der Katholieke Universiteit Toernooiveld, 6525 ED, Nymegen/Pays-Bas

    Eduard Looijenga

Authors
  1. Eduard Looijenga
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

E. Looijenga D. Siersma F. Takens

Additional information

To my teacher Nicolaas H. Kuiper, on the occasion of his 60th birthday

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Looijenga, E. (1981). A Torelli theorem for Kähler-Einstein K3 surfaces. In: Looijenga, E., Siersma, D., Takens, F. (eds) Geometry Symposium Utrecht 1980. Lecture Notes in Mathematics, vol 894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096226

Download citation

  • DOI: https://doi.org/10.1007/BFb0096226

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11167-2

  • Online ISBN: 978-3-540-38641-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation