Skip to main content

Une demonstration elementaire du theoreme de Torelli pour les intersections de trois quadriques generiques de dimension impaire

  • 492 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1399)

Keywords

  • Polarisation Principale
  • Prym Variety
  • Torelli Theorem
  • Dimension Impaire
  • Suite Exacte

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   39.99
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.

Bibliographie

  1. E. ARBARELLO, M. CORNALBA, P.A. GRIFFITHS, J. HARRIS.-Geometry of Algebraic Curves, I. Springer Verlag (1985).

    Google Scholar 

  2. A. BEAUVILLE.-Variétés de Prym et jacobiennes intermédiaires. Ann. Sc. Ecole Norm. Sup. 10 (1977), 309–391.

    MathSciNet  MATH  Google Scholar 

  3. A. BERTRAM.-An existence theorem for Prym special divisors. Invent. Math. 90 (1987), 669–671.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. O. DEBARRE.-Le théorème de Torelli pour les intersections de trois quadriques. Invent. Math. A paraître.

    Google Scholar 

  5. O. DEBARRE.-Sur le théorème de Torelli pour les variétés de Prym. Am. J. of Math. A paraître.

    Google Scholar 

  6. O. DEBARRE.-Sur les variétés de Prym des courbes tétragonales. Ann. Sc. Ecole Norm. Sup. 21 (1988), 545–559.

    MathSciNet  MATH  Google Scholar 

  7. A. DIXON.-Notes on the reduction of a ternary quartic to a symmetrical determinant. Proc. Camb. Phil. Soc. 11 (1902), 350–351.

    MATH  Google Scholar 

  8. R. DONAGI.-The tetragonal construction. Bull. Amer. Math. Soc. 4 (1981), 181–185.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. R. FRIEDMAN, R. SMITH.-Degenerations of Prym varieties and intersections of three quadrics. Invent. Math. 85 (1986), 615–635.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. R. FRIEDMAN, R. SMITH.-The generic Torelli theorem for the Prym map. Invent. Math. 67 (1982), 473–490.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. V. KANEV.-The global Torelli theorem for Prym varieties at a generic point. Math. USSR Izvestija 20 (1983), 235–258.

    CrossRef  MATH  Google Scholar 

  12. Y. LASZLO.-Théorème de Torelli pour les intersections complètes de trois quadriques de dimension paire. A paraître.

    Google Scholar 

  13. D. MUMFORD.-Prym Varieties I. Contributions to Analysis. Acad. Press, New York (1974), 325–350.

    Google Scholar 

  14. D. MUMFORD.-Theta characteristics of an algebraic curve. Ann. Sc. Ecole Norm. Sup. 4 (1971), 181–192.

    MathSciNet  MATH  Google Scholar 

  15. A.N. TJURIN.-On the intersection of quadrics. Russian Math. Surveys 30 (1975).

    Google Scholar 

  16. G. WELTERS.-Recovering the curve data from a general Prym variety. Amer. J. of Math. 109 (1987), 165–182.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. G. WELTERS.-The surface C-C on Jacobi varieties and 2nd order theta functions. Acta math. 157 (1986), 1–22.

    CrossRef  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

© 1989 Springer-Verlag

About this paper

Cite this paper

Debarre, O. (1989). Une demonstration elementaire du theoreme de Torelli pour les intersections de trois quadriques generiques de dimension impaire. In: Barth, WP., Lange, H. (eds) Arithmetic of Complex Manifolds. Lecture Notes in Mathematics, vol 1399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095967

Download citation

  • DOI: https://doi.org/10.1007/BFb0095967

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51729-0

  • Online ISBN: 978-3-540-46791-5

  • eBook Packages: Springer Book Archive